The classification and the conjugacy classes of the finite subgroups of the sphere braid groups

Let n >= 3. We classify the finite groups which are realised as subgroups of the sphere braid group B(n)(S(2)). Such groups must be of cohomological period 2 or 4. Depending on the value of n, we show that the following are the maximal finite subgroups of B(n)(S(2)): Z(2(n-1)); the dicyclic groups of order 4n and 4(n - 2); the binary tetrahedral group T*; the binary octahedral group O*; and the binary icosahedral group I(*). We give geometric as well as some explicit algebraic constructions of these groups in B(n)(S(2)) and determine the number of conjugacy classes of such finite subgroups. We also reprove Murasugi`s classification of the torsion elements of B(n)(S(2)) and explain how the finite subgroups of B(n)(S(2)) are related to this classification, as well as to the lower central and derived series of B(n)(S(2)).

Metallochlorophylls of magnesium, copper and zinc: evaluation of the influence of the first coordination sphere on their solvatochromism and aggregation properties

In this study the role of different metal centers (magnesium, zinc and copper) on the enhancement of the hydrophilic character of metallochlorophylls, was evaluated. The solvatochromism as well as the aggregation process for these compounds in water/ethanol mixtures at different volume ratios were evaluated using Fluorescence, and Resonant Light Scattering (RLS) measurements, aiming to characterize the behavior of these compounds. Independently on the studied metallochlorophyll, the presence of at least 60% of water results in a considerable increase in the fluorescence emission, probably a direct consequence of a lower aggregation of these compounds, which is confirmed by the results from RLS measurements. Additionally, the results suggest that magnesium and zinc chlorophyll should be promising phototherapeutic agents for Photodynamic Therapy.

THE LOWER CENTRAL AND DERIVED SERIES OF THE BRAID GROUPS OF THE SPHERE

In this paper, we determine the lower central and derived series for the braid groups of the sphere. We are motivated in part by the study of Fadell-Neuwirth short exact sequences, but the problem is important in its own right. The braid groups of the 2-sphere S(2) were studied by Fadell, Van Buskirk and Gillette during the 1960s, and are of particular interest due to the fact that they have torsion elements (which were characterised by Murasugi). We first prove that for all n epsilon N, the lower central series of the n-string braid group B(n)(S(2)) is constant from the commutator subgroup onwards. We obtain a presentation of Gamma(2)(Bn(S(2))), from which we observe that Gamma(2)(B(4)(S(2))) is a semi-direct product of the quaternion group Q(8) of order 8 by a free group F(2) of rank 2. As for the derived series of Bn(S(2)), we show that for all n >= 5, it is constant from the derived subgroup onwards. The group Bn(S(2)) being finite and soluble for n <= 3, the critical case is n = 4 for which the derived subgroup is the above semi-direct product Q(8) (sic) F(2). By proving a general result concerning the structure of the derived subgroup of a semi-direct product, we are able to determine completely the derived series of B(4)(S(2)) which from (B(4)(S(2)))(4) onwards coincides with that of the free group of rank 2, as well as its successive derived series quotients.

Strong surjectivity of maps from 2-complexes into the 2-sphere

Given a model 2-complex K(P) of a group presentation P, we associate to it an integer matrix Delta(P) and we prove that a cellular map f : K(P) -> S(2) is root free (is not strongly surjective) if and only if the diophantine linear system Delta(P) Y = (deg) over right arrow (f) has an integer solution, here (deg) over right arrow (f) is the so-called vector-degree of f

The analytic torsion of a cone over a sphere

We compute the analytic torsion of a cone over a sphere of dimensions 1, 2, and 3, and we conjecture a general formula for the cone over an odd dimensional sphere. (C) 2009 Elsevier Masson SAS. All rights reserved.

Minimizing the object dimensions in circle and sphere packing problems

Given a fixed set of identical or different-sized circular items, the problem we deal with consists on finding the smallest object within which the items can be packed. Circular, triangular, squared, rectangular and also strip objects are considered. Moreover, 2D and 3D problems are treated. Twice-differentiable models for all these problems are presented. A strategy to reduce the complexity of evaluating the models is employed and, as a consequence, instances with a large number of items can be considered. Numerical experiments show the flexibility and reliability of the new unified approach. (C) 2007 Elsevier Ltd. All rights reserved.

THE LOWER CENTRAL AND DERIVED SERIES OF THE BRAID GROUPS OF THE FINITELY-PUNCTURED SPHERE

Motivated in part by the study of Fadell-Neuwirth short exact sequences, we determine the lower central and derived series for the braid groups of the finitely-punctured sphere. For n >= 1, the class of m-string braid groups B(m)(S(2)\{x(1), ... , x(n)}) of the n-punctured sphere includes the usual Artin braid groups B(m) (for n = 1), those of the annulus, which are Artin groups of type B (for n = 2), and affine Artin groups of type (C) over tilde (for n = 3). We first consider the case n = 1. Motivated by the study of almost periodic solutions of algebraic equations with almost periodic coefficients, Gorin and Lin calculated the commutator subgroup of the Artin braid groups. We extend their results, and show that the lower central series (respectively, derived series) of B(m) is completely determined for all m is an element of N (respectively, for all m not equal 4). In the exceptional case m = 4, we obtain some higher elements of the derived series and its quotients. When n >= 2, we prove that the lower central series (respectively, derived series) of B(m)(S(2)\{x(1), ... , x(n)}) is constant from the commutator subgroup onwards for all m >= 3 (respectively, m >= 5). The case m = 1 is that of the free group of rank n - 1. The case n = 2 is of particular interest notably when m = 2 also. In this case, the commutator subgroup is a free group of infinite rank. We then go on to show that B(2)(S(2)\{x(1), x(2)}) admits various interpretations, as the Baumslag-Solitar group BS(2, 2), or as a one-relator group with non-trivial centre for example. We conclude from this latter fact that B(2)(S(2)\{x(1), x(2)}) is residually nilpotent, and that from the commutator subgroup onwards, its lower central series coincides with that of the free product Z(2) * Z. Further, its lower central series quotients Gamma(i)/Gamma(i+1) are direct sums of copies of Z(2), the number of summands being determined explicitly. In the case m >= 3 and n = 2, we obtain a presentation of the derived subgroup, from which we deduce its Abelianization. Finally, in the case n = 3, we obtain partial results for the derived series, and we prove that the lower central series quotients Gamma(i)/Gamma(i+1) are 2-elementary finitely-generated groups.

Ônibus 174 - imagimagens da humilhação social

Este artigo procura debater a psicologia social no cinema através de um conceito específico: a humilhação social como problema político. Para tanto foi tomado como objeto de análise o filme Ônibus 174, documentário realizado pelo cineasta José Padilha em 2002. Os comentários elaborados aqui visam compreender as estratégias narrativas utilizadas pelo diretor, que incluem aspectos estéticos e a participação do público, que transformam sua obra em um objeto de estudo da humilhação social que ocorre no âmbito da esfera pública, onde a ação define as relações sociais entre os indivíduos.

Corporeidade e ação nos processos de formação do eu

Parte-se da hipótese de que tanto os modos de constituição da subjetividade, quanto as teses epistemológicas sobre a formação do eu têm sofrido importantes mudanças nas últimas décadas. No plano das identidades pessoais, tal fato se expressa no atenuamento do ideário intimista, tradicionalmente centrado na idéia da vida mental como espaço privado e interior. No plano epistemológico, diferentes saberes vêm questionando a equivalência entre vida mental e interioridade psicológica e propondo descrições da origem do eu que incluam a dimensão da corporeidade e da ação. Considerando as noções de representação e de ação como eixos fundamentais para diferentes concepções da subjetividade, este artigo examina um modelo internalista do psiquismo, contrastando-o com outro que toma o eu como agente corporificado.

A psicologia redescobrirá a sexualidade?

O senso comum indica o psicólogo como o profissional mais preparado para trabalhar com a sexualidade. Raramente, entretanto, formamos psicólogos para lidar com a vida sexual em contextos que não sejam clínicos. Esse artigo sintetiza uma crítica às abordagens "sexológicas", dominantes no século XX, argumentando que a abordagem "construcionista", ao desconstruir a heteronormatividade e a subordinação da mulher como naturais, validou-se como paradigma alternativo de grande relevância para a pesquisa e a prática de profissionais que abordam a sexualidade. O construcionismo interpretou melhor novos desafios, como a epidemia da Aids, especialmente em contextos de desigualdade e violação de direitos, inspirando a prevenção baseada na análise de gênero e compreensão de cenários, cenas, scripts e trajetórias de sujeitos sexuais. O trabalho dos psicólogos será beneficiado se sua formação redescobrir a sexualidade, repensar a sexologia, superar abordagens baseadas em valores pessoais e em psicologias com pretensões universalistas, ao menos no campo da sexualidade.

Da fotografia como arte à arte como fotografia: a experiência do Museu de Arte Contemporânea da USP na década de 1970

Este ensaio visa sistematizar os primeiros resultados de uma pesquisa, ainda em curso, sobre o processo de legitimação da fotografia pelo sistema de arte no Brasil, cujo foco principal é o museu. Os museus de arte da cidade de São Paulo foram escolhidos para dar início a essa investigação. Primeiramente, será abordada, em linhas gerais, a presença da fotografia no Museu de Arte Moderna de São Paulo e na Bienal de São Paulo, dada a vinculação de origem do Museu de Arte Contemporânea com essas duas instituições paulistanas. Na seqüência será analisada a formação do acervo fotográfico do Museu de Arte Contemporânea da Universidade de São Paulo durante a década de 1970. Por fim, esse percurso permitirá observar que a atuação de Walter Zanini, o primeiro diretor do Museu, e as particularidades da posição do MAC-USP no sistema de arte no Brasil naquele período resultaram no entendimento da fotografia prioritariamente no âmbito da arte contemporânea de caráter experimental e não como obra de arte autônoma, segundo os princípios da chamada fotografia artística.

Um relato de vida, um caminho institucional: juventude, medicalização e sofrimentos sociais

Apresenta-se uma história de vida com o intuito de traçar uma análise das manifestações particulares de uma trajetória individual em diálogo com os elementos presentes na vida de jovens de grupos populares. Foca-se na discussão dos equipamentos sociais na produção de sentidos, lugares e sofrimentos em algumas vidas, ocasionando processos em que "doenças" e medicalização são geradas a partir de problemas sociais. Com base nos pressupostos da pesquisa etnográfica, acompanhou-se a trajetória de uma jovem, por quatro anos, em sua passagem por serviços sociais de atenção à infância e à juventude, assim como de saúde mental. Considera-se que as políticas sociais devem intervir com jovens sob uma compreensão ampliada dos problemas sociais, sendo que o campo da atenção em saúde mental, em conexão com a esfera social, deve cuidar das situações de sofrimento sem que haja a homogeneização das necessidades, traduzindo-se numa iatrogenia e na medicalização do social.

Establishment of a protocol for obtention of neuronal stem cells lineages from the dog olfactory epithelium

A morphological and cell culture study from nasal mucosa of dogs was performed in order to establish a protocol to obtain a cell population committed to neuronal lineage, as a proposal for the treatment of traumatic and degenerative lesions in these animals, so that in the future these results could be applied to the human species. Twelve mongrel dogs of 60-day aged pregnancy were collected from urban pound dogs in São Paulo. Tissue from cribriform ethmoidal lamina of the fetuses was collected at necropsy under sterile conditions around 1h to 2h postmortem by uterine sections and sections from the fetal regions described above. Isolated cells of this tissue were added in DMEM/F-12 medium under standard conditions of incubation (5% CO², >37ºC). Cell culture based on isolated cells from biopsies of the olfactory epithelium showed rapid growth when cultured for 24 hours, showing phase-bright sphere cells found floating around the fragments, attached on culture flasks. After 20 days, a specific type of cells, predominantly ellipsoids or fusiform cells was characterized in vitro. The indirect immunofluorescence examination showed cells expressing markers of neuronal precursors (GFAP, neurofilament, oligodendrocyte, and III â-tubulin). The cell proliferation index showed Ki67 immunostaining with a trend to label cell groups throughout the apical region, while PCNA immunostaining label predominantly cell groups lying above the basal lamina. The transmission electron microscopy from the olfactory epithelium of dogs revealed cells with electron-dense cytoplasm and preserving the same distribution as those of positive cell staining for PCNA. Metabolic activity was confirmed by presence of euchromatin in the greatest part of cells. All these aspects give subsidies to support the hypothesis about resident progenitor cells among the basal cells of the olfactory epithelium, committed to renewal of these cell populations, especially neurons.

ELECTRONIC GOVERNMENT POLICIES IN BRAZIL: CONTEXT, ICT MANAGEMENT AND OUTCOMES

The State Reform processes combined with the emergence and use of Information and Communication Technology (ICT) originated electronic government policies and initiatives in Brazil. This paper dwells on Brazilian e-government by investigating the institutional design it assumed in the state's public sphere, and how it contributed to outcomes related to e-gov possibilities. The analyses were carried out under an interpretativist perspective by making use of Institutional Theory. From the analyses of interviews with relevant actors in the public sphere, such as state secretaries and presidents of public ICT companies, conclusions point towards low institutionalization of e-gov policies. The institutional design of Brazilian e-gov limits the use of ICT to provide integrated public services, to amplify participation and transparency, and to improve public policies management.

Composite electrode of carbon nanotubes and vitreous carbon for electron field emission

In this work, the electron field emission behaviour of electrodes formed by carbon nanotubes (CNTs) grown onto monolithic vitreous carbon (VCarbon) substrates with microcavities is presented. Scanning electron microscopy was used to characterize the microstructure of the films. Tungsten probes, stainless steel sphere, and phosphor electrodes were employed in the electron field emission study. The CNT/VCarbon composite represents a route to inexpensive excellent large area electron emission cathodes with fields as low as 2.1 V mu m(-1). In preliminary lifetime tests for a period of about 24 h at an emission current of about 4 mA cm(-2), there is an onset degradation of the emission current of about 28%, which then stabilizes. Electron emission images of the composites show the cavity of the samples act as separate emission sites and predominantly control the emission process. The emission of CNTs/VCarbon was found to be stable for several hours. (c) 2008 American Institute of Physics.