Groups Of Prime Power Order Volume 3
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Groups Of Prime Power Order Volume 3
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Author : Yakov Berkovich
language : en
Publisher: Walter de Gruyter
Release Date : 2011-06-30
Groups Of Prime Power Order Volume 3 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 2011-06-30 with Mathematics categories.
This is the third volume of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this volume: impact of minimal nonabelian subgroups on the structure of p-groups, classification of groups all of whose nonnormal subgroups have the same order, degrees of irreducible characters of p-groups associated with finite algebras, groups covered by few proper subgroups, p-groups of element breadth 2 and subgroup breadth 1, exact number of subgroups of given order in a metacyclic p-group, soft subgroups, p-groups with a maximal elementary abelian subgroup of order p2, p-groups generated by certain minimal nonabelian subgroups, p-groups in which certain nonabelian subgroups are 2-generator. The book contains many dozens of original exercises (with difficult exercises being solved) and a list of about 900 research problems and themes.
Groups Of Prime Power Order Volume 4
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Author : Yakov G. Berkovich
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2015-12-14
Groups Of Prime Power Order Volume 4 written by Yakov G. Berkovich and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-14 with Mathematics categories.
This is the fourth volume of a comprehensive and elementary treatment of finite p-group theory. As in the previous volumes, minimal nonabelian p-groups play an important role. Topics covered in this volume include: subgroup structure of metacyclic p-groups Ishikawa’s theorem on p-groups with two sizes of conjugate classes p-central p-groups theorem of Kegel on nilpotence of H p-groups partitions of p-groups characterizations of Dedekindian groups norm of p-groups p-groups with 2-uniserial subgroups of small order The book also contains hundreds of original exercises and solutions and a comprehensive list of more than 500 open problems. This work is suitable for researchers and graduate students with a modest background in algebra.
Groups Of Prime Power Order Volume 5
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Author : Yakov G. Berkovich
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2016-01-15
Groups Of Prime Power Order Volume 5 written by Yakov G. Berkovich and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-15 with Mathematics categories.
This is the fifth volume of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this volume include theory of linear algebras and Lie algebras. The book contains many dozens of original exercises (with difficult exercises being solved) and a list of about 900 research problems and themes.
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.
Blocks Of Finite Groups And Their Invariants
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Author : Benjamin Sambale
language : en
Publisher: Springer
Release Date : 2014-11-19
Blocks Of Finite Groups And Their Invariants written by Benjamin Sambale and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-19 with Mathematics categories.
Providing a nearly complete selection of up-to-date methods and results on block invariants with respect to their defect groups, this book covers the classical theory pioneered by Brauer, the modern theory of fusion systems introduced by Puig, the geometry of numbers developed by Minkowski, the classification of finite simple groups, and various computer assisted methods. In a powerful combination, these tools are applied to solve many special cases of famous open conjectures in the representation theory of finite groups. Most of the material is drawn from peer-reviewed journal articles, but there are also new previously unpublished results. In order to make the text self-contained, detailed proofs are given whenever possible. Several tables add to the text's usefulness as a reference. The book is aimed at experts in group theory or representation theory who may wish to make use of the presented ideas in their research.
Groups Of Prime Power Order Volume 6
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Author : Yakov G. Berkovich
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-06-25
Groups Of Prime Power Order Volume 6 written by Yakov G. Berkovich and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-25 with Mathematics categories.
This is the sixth volume of a comprehensive and elementary treatment of finite group theory. This volume contains many hundreds of original exercises (including solutions for the more difficult ones) and an extended list of about 1000 open problems. The current book is based on Volumes 1–5 and it is suitable for researchers and graduate students working in group theory.
The Structure Of Groups Of Prime Power Order
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Author : Charles Richard Leedham-Green
language : en
Publisher: Clarendon Press
Release Date : 2002
The Structure Of Groups Of Prime Power Order written by Charles Richard Leedham-Green and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
An important monograph summarizing the development of a classification system of finite p-groups.
Yakov G Berkovich Lev S Kazarin Emmanuel M Zhmud Characters Of Finite Groups Volume 2
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Author : Yakov G. Berkovich
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-12-17
Yakov G Berkovich Lev S Kazarin Emmanuel M Zhmud Characters Of Finite Groups Volume 2 written by Yakov G. Berkovich and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-17 with Mathematics categories.
This updated edition of this classic book is devoted to ordinary representation theory and is addressed to finite group theorists intending to study and apply character theory. It contains many exercises and examples, and the list of problems contains a number of open questions.
Yakov G Berkovich Lev S Kazarin Emmanuel M Zhmud Characters Of Finite Groups Volume 1
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Author : Yakov G. Berkovich
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2017-12-18
Yakov G Berkovich Lev S Kazarin Emmanuel M Zhmud Characters Of Finite Groups Volume 1 written by Yakov G. Berkovich and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-18 with Mathematics categories.
This updated edition of this classic book is devoted to ordinary representation theory and is addressed to finite group theorists intending to study and apply character theory. It contains many exercises and examples, and the list of problems contains a number of open questions.
Complementation Of Normal Subgroups
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Author : Joseph Kirtland
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2017-09-11
Complementation Of Normal Subgroups written by Joseph Kirtland and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-11 with Mathematics categories.
Starting with the Schur-Zassenhaus theorem, this monograph documents a wide variety of results concerning complementation of normal subgroups in finite groups. The contents cover a wide range of material from reduction theorems and subgroups in the derived and lower nilpotent series to abelian normal subgroups and formations. Contents Prerequisites The Schur-Zassenhaus theorem: A bit of history and motivation Abelian and minimal normal subgroups Reduction theorems Subgroups in the chief series, derived series, and lower nilpotent series Normal subgroups with abelian sylow subgroups The formation generation Groups with specific classes of subgroups complemented