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Author: Mariagrazia Bianchi
Publisher: World Scientific
ISBN: 9814350389
Category : Mathematics
Languages : en
Pages : 416
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Book Description
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.
Author: Mariagrazia Bianchi
Publisher: World Scientific
ISBN: 9814350389
Category : Mathematics
Languages : en
Pages : 416
Get Book
Book Description
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.
Author: Mariagrazia Bianchi
Publisher:
ISBN:
Category :
Languages : en
Pages : 296
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Book Description
Author:
Publisher:
ISBN: 981446743X
Category :
Languages : en
Pages :
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Book Description
Author: Mariagrazia Bianchi
Publisher: World Scientific
ISBN: 9814350052
Category : Mathematics
Languages : en
Pages : 416
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Book Description
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
Author: Mariagrazia Bianchi
Publisher: World Scientific
ISBN: 9814460524
Category : Mathematics
Languages : en
Pages : 416
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Book Description
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
Author: Trevor O. Hawkes
Publisher: World Scientific
ISBN: 9812708677
Category : Mathematics
Languages : en
Pages : 277
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Book Description
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.
Author:
Publisher:
ISBN: 9789814350044
Category : Group theory
Languages : en
Pages : 393
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Book Description
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Publisher:
ISBN: 9814475300
Category :
Languages : en
Pages :
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Book Description
Author: Yakov Berkovich
Publisher: Walter de Gruyter
ISBN: 3110208229
Category : Mathematics
Languages : en
Pages : 533
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Book Description
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.
Author: Yakov Berkovich
Publisher: Walter de Gruyter
ISBN: 3110208237
Category : Mathematics
Languages : en
Pages : 613
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Book Description
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.
