Ischia Group Theory 2008


Ischia Group Theory 2008
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Ischia Group Theory 2010


Ischia Group Theory 2010
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Author : Mariagrazia Bianchi
language : en
Publisher: World Scientific
Release Date : 2012

Ischia Group Theory 2010 written by Mariagrazia Bianchi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.


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 2008


Ischia Group Theory 2008
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Author : Mariagrazia Bianchi
language : en
Publisher:
Release Date : 2009

Ischia Group Theory 2008 written by Mariagrazia Bianchi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.




Ischia Group Theory 2008


Ischia Group Theory 2008
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Author :
language : en
Publisher:
Release Date :

Ischia Group Theory 2008 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.




Ischia Group Theory 2010


Ischia Group Theory 2010
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Author : Mariagrazia Bianchi
language : en
Publisher: World Scientific
Release Date : 2011-09-01

Ischia Group Theory 2010 written by Mariagrazia Bianchi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-01 with Mathematics categories.


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



Ischia Group Theory 2006


Ischia Group Theory 2006
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Author : Trevor O. Hawkes
language : en
Publisher: World Scientific
Release Date : 2007

Ischia Group Theory 2006 written by Trevor O. Hawkes and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.


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 2006


Ischia Group Theory 2006
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Author :
language : en
Publisher:
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Ischia Group Theory 2006 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.




Ischia Group Theory 2004


Ischia Group Theory 2004
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Author : Zvi Arad
language : en
Publisher: American Mathematical Soc.
Release Date : 2006

Ischia Group Theory 2004 written by Zvi Arad and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Nilpotent groups categories.


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).



Groups Of Prime Power Order Volume 1


Groups Of Prime Power Order Volume 1
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Author : Yakov Berkovich
language : en
Publisher: Walter de Gruyter
Release Date : 2008-12-10

Groups Of Prime Power Order Volume 1 written by Yakov Berkovich and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-10 with Mathematics categories.


This is the first of three volumes of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this monograph include: (a) counting of subgroups, with almost all main counting theorems being proved, (b) regular p-groups and regularity criteria, (c) p-groups of maximal class and their numerous characterizations, (d) characters of p-groups, (e) p-groups with large Schur multiplier and commutator subgroups, (f) (p‒1)-admissible Hall chains in normal subgroups, (g) powerful p-groups, (h) automorphisms of p-groups, (i) p-groups all of whose nonnormal subgroups are cyclic, (j) Alperin's problem on abelian subgroups of small index. The book is suitable for researchers and graduate students of mathematics with a modest background on algebra. It also contains hundreds of original exercises (with difficult exercises being solved) and a comprehensive list of about 700 open problems.



Groups Of Prime Power Order Volume 2


Groups Of Prime Power Order Volume 2
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Author : Yakov Berkovich
language : en
Publisher: Walter de Gruyter
Release Date : 2008-12-10

Groups Of Prime Power Order Volume 2 written by Yakov Berkovich and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-10 with Mathematics categories.


This is the second of three volumes devoted to elementary finite p-group theory. Similar to the first volume, hundreds of important results are analyzed and, in many cases, simplified. Important topics presented in this monograph include: (a) classification of p-groups all of whose cyclic subgroups of composite orders are normal, (b) classification of 2-groups with exactly three involutions, (c) two proofs of Ward's theorem on quaternion-free groups, (d) 2-groups with small centralizers of an involution, (e) classification of 2-groups with exactly four cyclic subgroups of order 2n > 2, (f) two new proofs of Blackburn's theorem on minimal nonmetacyclic groups, (g) classification of p-groups all of whose subgroups of index p2 are abelian, (h) classification of 2-groups all of whose minimal nonabelian subgroups have order 8, (i) p-groups with cyclic subgroups of index p2 are classified. This volume contains hundreds of original exercises (with all difficult exercises being solved) and an extended list of about 700 open problems. The book is based on Volume 1, and it is suitable for researchers and graduate students of mathematics with a modest background on algebra.



Infinite Groups


Infinite Groups
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Author : Martyn R. Dixon
language : en
Publisher: CRC Press
Release Date : 2022-12-30

Infinite Groups written by Martyn R. Dixon and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-30 with Mathematics categories.


In recent times, group theory has found wider applications in various fields of algebra and mathematics in general. But in order to apply this or that result, you need to know about it, and such results are often diffuse and difficult to locate, necessitating that readers construct an extended search through multiple monographs, articles, and papers. Such readers must wade through the morass of concepts and auxiliary statements that are needed to understand the desired results, while it is initially unclear which of them are really needed and which ones can be dispensed with. A further difficulty that one may encounter might be concerned with the form or language in which a given result is presented. For example, if someone knows the basics of group theory, but does not know the theory of representations, and a group theoretical result is formulated in the language of representation theory, then that person is faced with the problem of translating this result into the language with which they are familiar, etc. Infinite Groups: A Roadmap to Some Classical Areas seeks to overcome this challenge. The book covers a broad swath of the theory of infinite groups, without giving proofs, but with all the concepts and auxiliary results necessary for understanding such results. In other words, this book is an extended directory, or a guide, to some of the more established areas of infinite groups. Features An excellent resource for a subject formerly lacking an accessible and in-depth reference Suitable for graduate students, PhD students, and researchers working in group theory Introduces the reader to the most important methods, ideas, approaches, and constructions in infinite group theory.