On some Density Theorems in Number Theory and Group Theory

Gowers, dans son article sur les matrices quasi-aléatoires, étudie la question, posée par Babai et Sos, de l'existence d'une constante $c>0$ telle que tout groupe fini possède un sous-ensemble sans produit de taille supérieure ou égale a $c|G|$. En prouvant que, pour tout nombre premier $p$ assez grand, le groupe $PSL_2(\mathbb{F}_p)$ (d'ordre noté $n$) ne posséde aucun sous-ensemble sans produit de taille $c n^{8/9}$, il y répond par la négative. Nous allons considérer le probléme dans le cas des groupes compacts finis, et plus particuliérement des groupes profinis $SL_k(\mathbb{Z}_p)$ et $Sp_{2k}(\mathbb{Z}_p)$. La premiére partie de cette thése est dédiée à l'obtention de bornes inférieures et supérieures exponentielles pour la mesure suprémale des ensembles sans produit. La preuve nécessite d'établir préalablement une borne inférieure sur la dimension des représentations non-triviales des groupes finis $SL_k(\mathbb{Z}/(p^n\mathbb{Z}))$ et $Sp_{2k}(\mathbb{Z}/(p^n\mathbb{Z}))$. Notre théoréme prolonge le travail de Landazuri et Seitz, qui considérent le degré minimal des représentations pour les groupes de Chevalley sur les corps finis, tout en offrant une preuve plus simple que la leur. La seconde partie de la thése à trait à la théorie algébrique des nombres. Un polynome monogéne $f$ est un polynome unitaire irréductible à coefficients entiers qui endengre un corps de nombres monogéne. Pour un nombre premier $q$ donné, nous allons montrer, en utilisant le théoréme de densité de Tchebotariov, que la densité des nombres premiers $p$ tels que $t^q -p$ soit monogéne est supérieure ou égale à $(q-1)/q$. Nous allons également démontrer que, quand $q=3$, la densité des nombres premiers $p$ tels que $\mathbb{Q}(\sqrt[3]{p})$ soit non monogéne est supérieure ou égale à $1/9$.

Some problems in set topology relating group of homeomorphisms and order

In this thesis we investigate some problems in set theoretical topology related to the concepts of the group of homeomorphisms and order. Many problems considered are directly or indirectly related to the concept of the group of homeomorphisms of a topological space onto itself. Order theoretic methods are used extensively. Chapter-l deals with the group of homeomorphisms. This concept has been investigated by several authors for many years from different angles. It was observed that nonhomeomorphic topological spaces can have isomorphic groups of homeomorphisms. Many problems relating the topological properties of a space and the algebraic properties of its group of homeomorphisms were investigated. The group of isomorphisms of several algebraic, geometric, order theoretic and topological structures had also been investigated. A related concept of the semigroup of continuous functions of a topological space also received attention

Librarians' perceptions on the use of electronic resources at Catalan academic libraries: results of a focus group

The aim of this paper is to expand on previous quantitative and qualitative research into the use of electronic information resources and its impact on the information behaviour of academics at Catalan universities.

Maximal compactness, min- imal Hausdor ness and reversibility of frames and a study on automorphism group of frames

One can do research in pointfree topology in two ways. The rst is the contravariant way where research is done in the category Frm but the ultimate objective is to obtain results in Loc. The other way is the covariant way to carry out research in the category Loc itself directly. According to Johnstone [23], \frame theory is lattice theory applied to topology whereas locale theory is topology itself". The most part of this thesis is written according to the rst view. In this thesis, we make an attempt to study about 1. the frame counterparts of maximal compactness, minimal Hausdor - ness and reversibility, 2. the automorphism groups of a nite frame and its relation with the subgroups of the permutation group on the generator set of the frame

Ferrocene-Based Pyridylphosphine Ligands – Coordination Chemistry of Group 10, 11 and 12 Metals

English: The present thesis describes the synthesis of 1,1’-ferrocendiyl-based pyridylphosphine ligands, the exploration of their fundamental coordination chemistry and preliminary experiments with selected complexes aimed at potential applications. One main aspect is the synthesis of the bidentate ferrocene-based pyridylphosphine ligands 1-(Pyrid-2-yl)-1’-diphenylphosphinoferrocene, 1-(Pyrid-3-yl)-1’-diphenylphosphinoferrocene and 1-[(Pyrid-2-yl)methyl]-1’-diphenylphosphinoferrocene. A specific feature of these ligands is the ball-bearing like flexibility of the ferrocenebased backbone. An additional flexibility element is the rotation around the C–C single bonds. Consequently, the donor atoms can realise a wide range of positions with respect to each other and are therefore able to adapt to the coordination requirements of different metal centres. The flexibility of the ligand also plays a role in another key aspect of this work, which concerns the coordination mode, i. e. bridging vs. chelating. In addition to the flexibility, also the position of the donor atoms to each other is important. This is largely affected by the position of the pyridyl nitrogen (pyrid-2-yl vs. pyrid-3-yl) and the methylen group in 1-[(Pyrid-2-yl)methyl]-1’-diphenylphosphinoferrocene. Another interesting point is the combination of a soft phosphorus donor atom with a harder nitrogen donor atom, according to the HSAB principle. This combination generates a unique binding profile, since the pi-acceptor character of the P site is able to stabilise a metal centre in a low oxidation state, while the nitrogen sigma-donor ability can make the metal more susceptible to oxidative addition reactions. A P,N-donor combination can afford hemilabile binding profiles, which would be ideal for catalysis. Beyond 1,2-substituted ferrocene derivatives, which are quite successful in catalytic applications, 1,1’-derivatives are rather underrepresented. While a low-yield synthetic pathway to 1-(Pyrid-2-yl)-1’-diphenylphosphinoferrocene was already described in the literature [I. R. Butler, Organometallics 1992, 11, 74.], it was possible to find a new, improved and simplified synthetic pathway. Both other ligands were unknown prior to this work. Satisfactory results in the synthesis of 1-(Pyrid-3-yl)-1’-diphenylphosphinoferrocene could be achieved by working in analogy to the new synthetic procedure for 1-(Pyrid-2-yl)-1’-diphenylphosphinoferrocene. The synthesis of 1-[(Pyrid-2-yl)methyl]-1’-diphenylphosphinoferrocene has been handled by the group of Prof. Petr Stepnicka from Charles University, Prague, Czech Republic. The synthesis of tridentate ligands with an analogous heterodentate arrangement, was investigated briefly as a sideline of this study. The major part of this thesis deals with the fundamental coordination chemistry towards transition metals of the groups 10, 11 and 12. Due to the well-established catalytic properties of analogous palladium complexes, the coordination chemistry towards palladium (group 10) is of particular interest. The metals zinc and cadmium (group 12) are also of substantial importance because they are redox-inert in their divalent state. This is relevant in view of electrochemical investigations concerning the utilisation of the ligands as molecular redox sensors. Also mercury and the monovalent metals silver and gold (group 11) are included because of their rich coordination chemistry. It is essential to answer questions concerning aspects of the ligands’ coordination mode bearing in mind the HSAB principle.

Psychometric properties of the Spanish version of the Work Group Emotional Intelligence Profi le-Short version

Resumen tomado de la publicaci??n

Medida de la cohesi??n en equipos deportivos : adaptaci??n al espa??ol del Group Environment Questionnaire (GEQ)

Resumen tomado de la publicaci??n

Agreement in interpersonal perception as a predictor of group performance

Resumen tomado de la publicaci??n

COMP1205 Student Presentations M-P

Tuesday 13th May Building 34 Room 3001, 16.15-17.45 Elena & Rikki/Jian Presenting: Groups: M, N, O, P Marking Groups: Q, R, S, T Schedule and Topics 16.15-16.20: Introduction and protocol for the session 16.20 Group M: Serious games – gaming as a driver for applications online 16.40 Group N: Open Education OERs 17.00 Group O: Big Data – the big picture 17.20 Group P: Rights and equality in the workplace 17.40-18.00: Wash-up: feedback session for presentation groups

Estudio Costo-Efectividad de Lidocaína tópica como adyuvante a Pregabalina y Gabapentina en dolor neuropático periférico en una I.P.S de Bogotá 2011.

Introducción: el dolor neuropático es una patología de considerable prevalencia e impacto socio-económico en la población latinoamericana, la evidencia clínica sugiere que los ligandos de canales de calcio y el parche de Lidocaína pueden tratar exitosamente el dolor neuropático periférico y localizado. Metodología: se realizo una evaluación económica tipo costo-efectividad, observacional y retrospectiva con datos extraídos de las historias clínicas de pacientes atendidos en la clínica de dolor de la IPS. La variable primaria de efectividad fue la mejoría del dolor medida mediante escala visual análoga. Resultados: se estudiaron 94 pacientes tratados con: Gabapentina (G) 21, Pregabalina (P) 24, Gabapentina+ lidocaína (G/P) 24, Pregabalina + Lidocaína (P/L) 25, los costos asociados al tratamiento son los siguientes COP$114.070.835, COP$105.855.920, COP$88.717.481 COP$89.854.712 respectivamente, el número de pacientes con mejoría significativa de dolor fue: 8,10,9 y 21 pacientes respectivamente. El ICER de G/L con respecto a G fue: COP$ -25.353.354. El ICER de P/L con respecto a P fue: COP$ -1.454.655. Conclusiones: la adición del parche de lidocaína a la terapia regular con P/L represento una disminución de consumo de recursos en salud como uso de medicamentos co-analgésicos, analgésicos de rescate y fármacos para controlar reacciones adversas, de la misma forma que consultas a profesionales de la salud. Cada paciente manejado con P/L representa un ahorro de COP $1.454.655 al contrario si se manejase con el anticonvulsivante de manera exclusiva, en el caso de G/L este ahorro es de COP $ 25.353.354 frente a G sola.

Learning in community : small group leadership for educational change.

Resumen de la autora. Este art??culo pertenece al monogr??fico 'John Elliott: su pensamiento y su influencia'

Behavioral differences in violence: the case of intra-group differences of paramilitaries and guerrillas in Colombia

In most studies on civil wars, determinants of conflict have been hitherto explored assuming that actors involved were either unitary or stable. However, if this intra-group homogeneity assumption does not hold, empirical econometric estimates may be biased. We use Fixed Effects Finite Mixture Model (FE-FMM) approach to address this issue that provides a representation of heterogeneity when data originate from different latent classes and the affiliation is unknown. It allows to identify sub-populations within a population as well as the determinants of their behaviors. By combining various data sources for the period 2000-2005, we apply this methodology to the Colombian conflict. Our results highlight a behavioral heterogeneity in guerrilla’s armed groups and their distinct economic correlates. By contrast paramilitaries behave as a rather homogenous group.

Efectos a largo plazo del tratamiento de un adolescente con fobia social generalizada mediante el cognitive-behavioral group therapy for adolescents (CBGT-A).

Contiene tablas. Resumen tomado de la revista

Antecedents of the attitude towards inter-group reconciliation in a setting of armed conflict

Resumen tomado de la publicación