Ischia Group Theory 2010

Ischia Group Theory 2010 PDF

Author: Mariagrazia Bianchi

Publisher: World Scientific

Published: 2012

Total Pages: 416

ISBN-13: 9814350052

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Positive laws on generators in powerful pro-p groups / C. Acciarri and G.A. Fernandez-Alcober -- Periodic groups saturated by dihedral subgroups / B. Amberg and L. Kazarin -- A note on finite groups in which the conjugacy class sizes form an arithmetic progression / M. Bianchi, A. Gillio and P.P. Palfy -- A survey of recent progress on non-abelian tensor squares of groups / R.D. Blyth, F. Fumagalli and M. Morigi -- Conjugacy classes of subgroups of finite p-groups: the first gap / R. Brandl -- The Tutte polynomial of the Schreier graphs of the Grigorchuck group and the Basilica group / T. Ceccherini-Silberstein, A. Donno and D. Iacono -- On maximal subgroups of the alternating and symmetric groups / V. Colombo -- Markov's problems through the looking glass of Zariski and Markov topologies / D. Dikranjan and D. Toller -- Linear groups with finite dimensional orbits / M.R. Dixon, L.A. Kurdachenko and J. Otal -- Three-dimensional loops as sections in a four-dimensional solvable Lie group / A. Figula -- A note on finite p-groups with a maximal elementary subgroup of rank 2 / G. Glauberman -- Finitely generated free by C[symbol] pro-p groups / W. Herfort and P.A. Zalesskii -- Finite nonabelian 2-groups all of whose minimal nonabelian subgroups are isomorphic to M[symbol] / Z. Janko -- Twisted conjugacy in certain Artin groups / A. Juhasz -- Applications of Clifford's theorem to Frobenius groups of automorphisms / E.I. Khukhro -- Inducing [symbol]-partial characters with a given vertex / M.L. Lewis -- Groups and Lie rings with Frobenius groups of automorphisms / N. Yu. Makarenko -- On integral representations of finite groups / D. Malinin -- On p-groups of small powerful class / A. Mann -- Lifting (2, k)-generators of linear groups / A. Maroti and C. Tamburini Bellani -- Fixed point subgroups and character tables / G. Navarro -- Permutability and seriality in locally finite groups / D.J.S. Robinson -- On the exponent of a finite group with a four-group of automorphisms / E. Romano and P. Shumyatsky -- Examples of Markov chains on spaces with multiplicities / F. Scarabotti and F. Tolli -- On the order and the element orders of finite groups: results and problems / W.J. Shi -- On local finiteness of verbal subgroups in residually finite groups / P. Shumyatsky -- The adjoint group of radical rings and related questions / Ya. P. Sysak -- On the Gorenstein dimension of soluble groups / O. Talelli -- Decomposition numbers for projective modules of finite Chevalley groups / A.E. Zalesski

Ischia Group Theory 2004

Ischia Group Theory 2004 PDF

Author: Zvi Arad

Publisher: American Mathematical Soc.

Published: 2006

Total Pages: 294

ISBN-13: 0821837117

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Experts in the theory of finite groups and in representation theory provide insight into various aspects of group theory, such as the classification of finite simple groups, character theory, groups with special properties, table algebras, etc. Information for our distributors include: This book is co-published with Bar-Ilan University (Ramat-Gan, Israel).

Ischia Group Theory 2006

Ischia Group Theory 2006 PDF

Author: Trevor O. Hawkes

Publisher: World Scientific

Published: 2007

Total Pages: 277

ISBN-13: 9812708677

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This volume contains a collection of research articles by leading experts in group theory and some accessible surveys of recent research in the area. Together they provide an overview of the diversity of themes and applications that interest group theorists today. Topics covered in this volume include: combinatorial group theory, varieties of groups, orderable groups, conjugacy classes, profinite groups, probabilistic methods in group theory, graphs connected with groups, subgroup structure, and saturated formations.

Ischia Group Theory 2010

Ischia Group Theory 2010 PDF

Author: Mariagrazia Bianchi

Publisher: World Scientific

Published: 2011-09-01

Total Pages: 416

ISBN-13: 9814460524

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The papers in this volume represent the proceedings of the Conference entitled “Ischia Group Theory 2010”, which took place at NH Ischia Thermal SPA Resort, Ischia, Naples, Italy, from April 14 to April 17, 2010. The articles in this volume are contributions by speakers and participants of the Conference. The volume contains a collection of research articles by leading experts in group theory and some accessible surveys of recent research in the area. Together they provide an overview of the diversity of themes and applications that interest group theorists today. Topics covered in this volume include: finite p-groups, character and representation theory, combinatorial group theory, varieties of groups, profinite and pro-p-groups, linear groups, graphs connected with groups, subgroup structure, finiteness conditions, radical rings, conjugacy classes, automorphisms. Contents:Positive Laws on Generators in Powerful Pro-p Groups (C Acciarri & G A Fernández-Alcober)Periodic Groups Saturated by Dihedral Subgroups (B Amberg and L Kazarin)A Note on Finite Groups in which the Conjugacy Class Sizes Form an Arithmetic Progression (M Bianchi, A Gillio and P P Pálfy)A Survey of Recent Progress on Non-Abelian Tensor Squares of Groups (R D Blyth, F Fumagalli and M Morigi)Conjugacy Classes of Subgroups of Finite p-Groups: The First Gap (R Brandl)The Tutte Polynomial of the Schreier Graphs of the Grigorchuk Group and the Basilica Group (T Ceccherini-Silberstein, A Donno and D Iacono)On Maximal Subgroups of the Alternating and Symmetric Groups (V Colombo)Markov's Problems Through the Looking Glass of Zariski and Markov Topologies (D Dikranian and D Toller)Linear Groups with Finite Dimensional Orbits (M R Dixon, L A Kurdachenko and J Otal)Three-Dimensional Loops as Sections in a Four-Dimensional Solvable Lie Group (Á Figula)A Note on Finite p-Groups with a Maximal Elementary Subgroup of Rank 2 (G Glaubermann)Finitely Generated Free by Cpn Pro-p Groups (W Herfort and P A Zalesskii)and other papers Readership: Researchers in group theory. Keywords:Finite and Infinite Groups;Graphs Associated to Groups;Character Theory;Representation Theory;Combinatorial Properties of Groups

Quantum Groups

Quantum Groups PDF

Author: Pavel I. Etingof

Publisher: American Mathematical Soc.

Published: 2007

Total Pages: 352

ISBN-13: 0821837133

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The papers in this volume are based on the talks given at the conference on quantum groups dedicated to the memory of Joseph Donin, which was held at the Technion Institute, Haifa, Israel in July 2004. A survey of Donin's distinguished mathematical career is included. Several articles, which were directly influenced by the research of Donin and his colleagues, deal with invariant quantization, dynamical $R$-matrices, Poisson homogeneous spaces, and reflection equation algebras. The topics of other articles include Hecke symmetries, orbifolds, set-theoretic solutions to the pentagon equations, representations of quantum current algebras, unipotent crystals, the Springer resolution, the Fourier transform on Hopf algebras, and, as a change of pace, the combinatorics of smoothly knotted surfaces. The articles all contain important new contributions to their respective areas and will be of great interest to graduate students and research mathematicians interested in Hopf algebras, quantum groups, and applications. Information for our distributors: This book is copublished with Bar-Ilan University (Ramat-Gan, Israel).

Representations of Algebraic Groups, Quantum Groups, and Lie Algebras

Representations of Algebraic Groups, Quantum Groups, and Lie Algebras PDF

Author: Georgia Benkart

Publisher: American Mathematical Soc.

Published: 2006

Total Pages: 270

ISBN-13: 0821839241

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Covers various aspects of the representation theory of Lie algebras, finite groups of Lie types, Hecke algebras, and Lie super algebras. This book outlines connections among irreducible representations of certain blocks of reduced enveloping algebras of semi-simple Lie algebras in positive characteristic.

Trends in Representation Theory of Algebras and Related Topics

Trends in Representation Theory of Algebras and Related Topics PDF

Author: José Antonio de la Peña

Publisher: American Mathematical Soc.

Published: 2006

Total Pages: 282

ISBN-13: 0821838180

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This book is based on lectures given during a Workshop on Representations of Algebras and Related Topics. Some additional articles are included in order to complete a panoramic view of the main trends of the subject. The volume contains original presentations by leading algebraists addressed to specialists as well as to a broader mathematical audience. The articles include new proofs, examples, and detailed arguments. Topics under discussion include moduli spaces associated to quivers, canonical basis of quantum algebras, categorifications and derived categories, $A$-infinity algebras and functor categories, cluster algebras, support varieties for modules and complexes, the Gabriel-Roiter measure for modules, and selfinjective algebras.