Generalized soluble groups of finite co-central rank

Eine Gruppe G hat endlichen Prüferrang (bzw. Ko-zentralrang) kleiner gleich r, wenn für jede endlich erzeugte Gruppe H gilt: H (bzw. H modulo seinem Zentrum) ist r-erzeugbar. In der vorliegenden Arbeit werden, soweit möglich, die bekannten Sätze über Gruppen von endlichem Prüferrang (kurz X-Gruppen), auf die wesentlich größere Klasse der Gruppen mit endlichem Ko-zentralrang (kurz R-Gruppen) verallgemeinert.Für lokal nilpotente R-Gruppen, welche torsionsfrei oder p-Gruppen sind, wird gezeigt, dass die Zentrumsfaktorgruppe eine X-Gruppe sein muss. Es folgt, dass Hyperzentralität und lokale Nilpotenz für R-Gruppen identische Bediungungen sind. Analog hierzu sind R-Gruppen genau dann lokal auflösbar, wenn sie hyperabelsch sind. Zentral für die Strukturtheorie hyperabelscher R-Gruppen ist die Tatsache, dass solche Gruppen eine aufsteigende Normalreihe abelscher X-Gruppen besitzen. Es wird eine Sylowtheorie für periodische hyperabelsche R-Gruppen entwickelt. Für torsionsfreie hyperabelsche R-Gruppen wird deren Auflösbarkeit bewiesen. Des weiteren sind lokal endliche R-Gruppen fast hyperabelsch. Für R-Gruppen fallen sehr große Gruppenklassen mit den fast hyperabelschen Gruppen zusammen. Hierzu wird der Begriff der Sektionsüberdeckung eingeführt und gezeigt, dass R-Gruppen mit fast hyperabelscher Sektionsüberdeckung fast hyperabelsch sind.

Medicalizing gender: from intersex to DSD, from the laboratory to patient groups

The subject of this research, the medicalization of the gendered body, is a shifting object. It has changed its medical name from Intersex to DSD (Disorders -or Divergence- of Sex Development), since the beginning of this research project. Loosely speaking it addresses the gendered components of the body, and their subsequent consideration. Drawing closer, it addresses how modern medicine treats people who manifest variations of one of the gendered components of the body, inserting their bodies into pathological categories now called DSD. This shifting terrain of different modes of viewing the gendered body has grown to include many variations, no longer solely interested in the mythical hermaphrodite. The locus of this investigation is in the interaction between these patient groups and doctors in Italy.

Nearrings and a construction of triply factorized groups

In this thesis a connection between triply factorised groups and nearrings is investigated. A group G is called triply factorised by its subgroups A, B, and M, if G = AM = BM = AB, where M is normal in G and the intersection of A and B with M is trivial. There is a well-known connection between triply factorised groups and radical rings. If the adjoint group of a radical ring operates on its additive group, the semidirect product of those two groups is triply factorised. On the other hand, if G = AM = BM = AB is a triply factorised group with abelian subgroups A, B, and M, G can be constructed from a suitable radical ring, if the intersection of A and B is trivial. In these triply factorised groups the normal subgroup M is always abelian. In this thesis the construction of triply factorised groups is generalised using nearrings instead of radical rings. Nearrings are a generalisation of rings in the sense that their additive groups need not be abelian and only one distributive law holds. Furthermore, it is shown that every triply factorised group G = AM = BM = AB can be constructed from a nearring if A and B intersect trivially. Moreover, the structure of nearrings is investigated in detail. Especially local nearrings are investigated, since they are important for the construction of triply factorised groups. Given an arbitrary p-group N, a method to construct a local nearring is presented, such that the triply factorised group constructed from this nearring contains N as a subgroup of the normal subgroup M. Finally all local nearrings with dihedral groups of units are classified. It turns out that these nearrings are always finite and their order does not exceed 16.

Quantum groups and vertex models

Nella tesi vengono presentate alcune relazioni fra gruppi quantici e modelli reticolari. In particolare si associa un modello vertex a una rappresentazione di un'algebra inviluppante quantizzata affine e si mostra che, specializzando il parametro quantistico ad una radice dell'unità, si manifestano speciali simmetrie.

Refined Gelfand models for some finite complex reflection groups

In 'Involutory reflection groups and their models' (F. Caselli, 2010), a uniform Gelfand model is constructed for all complex reflection groups G(r,p,n) satisfying GCD(p,n)=1,2 and for all their quotients modulo a scalar subgroup. The present work provides a refinement for this model. The final decomposition obtained is compatible with the Robinson-Schensted generalized correspondence.

Der irische Buchmarkt

Der irische Buchmarkt als Teil des englischsprachigen Buchmarktes ist stark von der Geschichte des Landes geprägt. Die Fremdbestimmung im Rahmen des Commonwealth unterdrückte eine eigenständige Verlagslandschaft bis weit ins 20. Jahrhundert hinein. Mit der Unabhängigkeit des irischen Staates stieg die Anzahl der Verlage langsam aber stetig an. In den 70er Jahren kam die irische Verlagslandschaft zu einem fast explosionsartigen Erblühen. Die Gründung des Verlegerverbandes Clé war einer von vielen Schritten, um den nationalen Buchmarkt von der Dominanz britischer Bücher in Buchhandlungen und Bibliotheken zu emanzipieren. Die Nachfrage nach Irish-Interest-Titeln ist im Inland hoch. Britische Verlage hatten bis dato diesen Bedarf übersehen, und so füllten irische Verlage diese Nische. Die Einführung eines von Großbritannien unabhängigen Lehrplans führte zur Etablierung eines eigenständigen Schulbuchmarktes, inklusive Lehrwerke zur irischen Sprache bzw. Titel auf Irisch. Irische Verlage sind in ihrem Programm größtenteils breit aufgestellt und selten spezialisiert. Sie sind erstaunlich häufig unabhängige mittelständische Unternehmen. Nur wenige Verlage sind staatlich geführt oder gehören ausländischen Konzernen an. Auch der stationäre Buchhandel ist überwiegend eigenständig, da die – vor dem Wirtschaftsboom wenig kaufkräftige - Republik von den expandierenden britischen Buchhandelsketten vernachlässigt wurde. Erst nach dem Wirtschaftsboom und dem damit verbundenen soziokulturellen Wandel von einer traditionellen Agrar- hin zu einer modernen Informationsgesellschaft stiegen die Umsätze mit Büchern stark an. Sobald der Buchmarkt eine nennenswerte wirtschaftliche Größe erreichte, eröffneten britische Buchhandlungen Filialen in irischen Städten. Sie vermochten jedoch nicht, die Sortimentsvielfalt der irischen Buchhandelslandschaft zu zerstören. Die fehlende Buchpreisbindung ist keine Bedrohung der Titelvielfalt, da Handelsformen wie Buchclubs, Supermärkte und Internethandel – die mit teils aggressivem Preismarketing arbeitenden Nebenmärkte – hier nur eine Randexistenz führen. In diesem Fall wandelt sich die geringe (Umsatz-) Größe und damit Attraktivität des Buchmarktes zum Vorteil. Die staatliche Kulturförderung ist ein bedeutender Beitrag zum Verlegen von Literatur, die wirtschaftlich gerechnet keine Daseinsberechtigung hätte. Irische Verleger mit relativ geringem Budget sind nicht in der Lage, solche unökonomischen Titel mit dem finanziellen Erfolg eines Bestsellers in Mischkalkulation aufzufangen. Hier greift die staatliche Unterstützung. Die Subventionierung von Titeln über die irischen Sprache bzw. von Literatur auf Irisch führte zur Herausbildung eines Marktsektors, der vor der Staatsgründung nicht existierte. Die Übersetzungsförderung verstärkt die Verbreitung von bis dato unbekannter irischer Literatur im Ausland und stimuliert das Lizenzgeschäft. Die aktuelle staatliche Kulturpolitik setzt ihren Schwerpunkt auf Marketing, PR sowie Nachfolgeregelung und fördert so nachhaltig statt bloß in Form einer kurzlebigen Titelsubvention. Eine noch mehr in die Zukunft gerichtete Förderung würde genauso wie die Unterstützung von Fortbildungsmaßnahmen zu besseren wirtschaftlichen Rahmenbedingungen führen. Auch wenn die nationale Verlagsszene im Aufschwung begriffen ist, befindet sich der irische Buchmarkt insgesamt in fester Hand der britischen Verlagsproduktion. Der britische Buchmarkt mit seinen multinationalen und finanzkräftigen Verlagen lebt vom Export. Aus Sicht von Großbritannien ist heutzutage der Nachbar Irland, einst Teil des britischen Buchmarktes, einer der besten Kunden. Dieser Aspekt bezieht sich nicht nur auf die langjährig entwickelten Handelsbeziehungen. In kulturellen Aspekten orientiert sich Irland stark am britischen Vorbild: Ein britischer Bestseller wird fast immer auch ein Bestseller in Irland. Lediglich Irish-Interest-Titel durchbrechen diesen Automatismus. Während Irish Interest im Inland hohe Umsätze vorweist, sind diese Titel im Ausland lediglich ein Nischenprodukt. Zusätzlich müssen irische Verlage außerhalb des Landes mit britischen und US-amerikanischen Verlagen in Konkurrenz treten, die ebenfalls Irish-Interest-Titel für die irische Diaspora anbieten. Es besteht daher nur eine geringe Chance, erfolgreich am globalen englischsprachigen Buchmarkt mitzuwirken. Bis dato haben Versuche, dem irischen Buchmarkt durch Export zu Umsatzwachstum zu verhelfen, keinen nennenswerten Erfolg gebracht. Lediglich auf dem Gebiet der populären Literatur und in Form von Kooperationen mit britischen Verlagskonzernen vermögen irische Verlage, am internationalen Buchhandel teilzuhaben.

Differential forms on Carnot groups

The main goal of this thesis is to understand and link together some of the early works by Michel Rumin and Pierre Julg. The work is centered around the so-called Rumin complex, which is a construction in subRiemannian geometry. A Carnot manifold is a manifold endowed with a horizontal distribution. If further a metric is given, one gets a subRiemannian manifold. Such data arise in different contexts, such as: - formulation of the second principle of thermodynamics; - optimal control; - propagation of singularities for sums of squares of vector fields; - real hypersurfaces in complex manifolds; - ideal boundaries of rank one symmetric spaces; - asymptotic geometry of nilpotent groups; - modelization of human vision. Differential forms on a Carnot manifold have weights, which produces a filtered complex. In view of applications to nilpotent groups, Rumin has defined a substitute for the de Rham complex, adapted to this filtration. The presence of a filtered complex also suggests the use of the formal machinery of spectral sequences in the study of cohomology. The goal was indeed to understand the link between Rumin's operator and the differentials which appear in the various spectral sequences we have worked with: - the weight spectral sequence; - a special spectral sequence introduced by Julg and called by him Forman's spectral sequence; - Forman's spectral sequence (which turns out to be unrelated to the previous one). We will see that in general Rumin's operator depends on choices. However, in some special cases, it does not because it has an alternative interpretation as a differential in a natural spectral sequence. After defining Carnot groups and analysing their main properties, we will introduce the concept of weights of forms which will produce a splitting on the exterior differential operator d. We shall see how the Rumin complex arises from this splitting and proceed to carry out the complete computations in some key examples. From the third chapter onwards we will focus on Julg's paper, describing his new filtration and its relationship with the weight spectral sequence. We will study the connection between the spectral sequences and Rumin's complex in the n-dimensional Heisenberg group and the 7-dimensional quaternionic Heisenberg group and then generalize the result to Carnot groups using the weight filtration. Finally, we shall explain why Julg required the independence of choices in some special Rumin operators, introducing the Szego map and describing its main properties.

Social inclusion of vulnerable groups through participatory and emancipatory approaches. Implementing active citizenship and socially innovative actions in the framework of civil & human rights model of disability

The research hypothesis of the thesis is that “an open participation in the co-creation of the services and environments, makes life easier for vulnerable groups”; assuming that the participatory and emancipatory approaches are processes of possible actions and changes aimed at facilitating people’s lives. The adoption of these approaches is put forward as the common denominator of social innovative practices that supporting inclusive processes allow a shift from a medical model to a civil and human rights approach to disability. The theoretical basis of this assumption finds support in many principles of Inclusive Education and the main focus of the hypothesis of research is on participation and emancipation as approaches aimed at facing emerging and existing problems related to inclusion. The framework of reference for the research is represented by the perspectives adopted by several international documents concerning policies and interventions to promote and support the leadership and participation of vulnerable groups. In the first part an in-depth analysis of the main academic publications on the central themes of the thesis has been carried out. After investigating the framework of reference, the analysis focuses on the main tools of participatory and emancipatory approaches, which are able to connect with the concepts of active citizenship and social innovation. In the second part two case studies concerning participatory and emancipatory approaches in the areas of concern are presented and analyzed as example of the improvement of inclusion, through the involvement and participation of persons with disability. The research has been developed using a holistic and interdisciplinary approach, aimed at providing a knowledge-base that fosters a shift from a situation of passivity and care towards a new scenario based on the person’s commitment in the elaboration of his/her own project of life.

The genetic history of Italians: new-insights from uniparentally-inherited markers

Genetic differences among human groups can be ascribed both to the broad-scale extents of pre-historical and historical migrations and to the fine-scale impacts of socio-cultural and geographic heterogeneity. In this thesis, the genetic information provided by uniparental markers were exploited to address different aspects of the Italian population history, by combining macro- and micro-geographic investigations at different spatial and temporal scales. To firstly assess the overall Italian variability, Y-chromosome and mtDNA markers were deeply typed in ~900 individuals from continental Italy, Sicily and Sardinia. Sex-biased patterns and contrasting demographic histories were observed for males and females. Differential European and Mediterranean contributions were invoked to explain the paternal genetic sub-structure observed in peninsular Italy, compared to the homogeneous maternal genetic landscape. If Neolithic showed to be one principal determinant of the detected paternal structure, local insights into specific Italian regional contexts highlighted the importance of Post-Neolithic contributions. Among them, migrations from the Balkans (particularly Greece) during late Metal Ages, played a relevant role in the cultural and genetic transitions occurred in Sicily and Southern Italy. On a finer geographic and temporal perspective, the more recent layers of Italian genetic history and some aspects of the gene-culture interaction were assessed by exploring the genetic variability within two “marginal populations”: Arbereshe of Southern Italy and Partecipanza in Northern Italy. The Arbereshe are Albanian-speaking communities settled in Sicily and Calabria since the end of Middle Ages. Despite sharing common genetic and cultural backgrounds, these groups revealed diverging micro-evolutionary histories, implying different founding events and different patterns of cultural isolation and local admixture. Partecipanza is an idiosyncratic institution of Medieval origin aimed at sharing and devolving collective lands. This case-study exemplified that socio-economic stratification within the same population may induce sex-biased genetic structuring and the maintenance of otherwise hidden historical genetic traces.

Higher order Sobolev Spaces and polyharmonic boundary value problems in Carnot Groups

The main task of this work is to present a concise survey on the theory of certain function spaces in the contexts of Hörmander vector fields and Carnot Groups, and to discuss briefly an application to some polyharmonic boundary value problems on Carnot Groups of step 2.

Context-dependent interpretation of the conjunction 'und' in different age-groups

In contrast to formal semantics, the conjunction and is nonsymmetrical in pragmatics. The events in Marc went to bed and fell asleep seem to have occurred chronologically although no explicit time reference is given. As the temporal interpretation appears to be weaker in Mia ate chocolate and drank milk, it seems that the kind and nature of events presented in a context influences the interpretation of the conjunction. This work focuses on contextual influences on the interpretation of the German conjunction und (‘and’). A variety of theoretic approaches are concerned with whether and contributes to the establishment of discourse coherence via pragmatic processes or whether the conjunction has complex semantic meaning. These approaches are discussed with respect to how they explain the temporal and additive interpretation of the conjunction and the role of context in the interpre-tation process. It turned out that most theoretic approaches do not consider the importance of different kinds of context in the interpretation process.rnIn experimental pragmatics there are currently only very few studies that investigate the inter-pretation of the conjunction. As there are no studies that investigate contextual influences on the interpretation of und systematically or investigate preschoolers interpretation of the con-junction, research questions such as How do (preschool) children interpret ‘und’? and Does the kind of events conjoined influence children’s and adults’ interpretation? are yet to be answered. Therefore, this dissertation systematically investigates how different types of context influence children’s interpretation of und. Three auditory comprehension studies were conducted in German. Of special interest was whether and how the order of events introduced in a context contributes to the temporal read-ing of the conjunction und. Results indicate that the interpretation of und is – at least in Ger-man – context-dependent: The conjunction is interpreted temporally more often when events that typical occur in a certain order are connected (typical contexts) compared to events with-out typical event order (neutral contexts). This suggests that the type of events conjoined in-fluences the interpretation process. Moreover, older children and adults interpret the conjunc-tion temporally more often than the younger cohorts if the conjoined events typically occur in a certain order. In neutral contexts, additive interpretations increase with age. 5-year-olds reject reversed order statements more often in typical contexts compared to neutral contexts. However, they have more difficulties with reversed order statements in typical contexts where they perform at chance level. This suggests that not only the type of event but also other age-dependent factors such as knowledge about scripts influence children’s performance. The type of event conjoined influences children’s and adults’ interpretation of the conjunction. There-fore, the influence of different event types and script knowledge on the interpretation process does not only have to be considered in future experimental studies on language acquisition and pragmatics but also in experimental pragmatics in general. In linguistic theories, context has to be given a central role and a commonly agreed definition of context that considers the consequences arising from different event types has to be agreed upon.