The Structure Of Groups Of Prime Power Order
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The Structure of Groups of Prime Power Order
Author: Charles Richard Leedham-Green
language: en
Publisher: Clarendon Press
Release Date: 2002
An important monograph summarizing the development of a classification system of finite p-groups.
Groups of Prime Power Order. Volume 1
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 5
Author: Yakov G. Berkovich
language: en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date: 2016-01-15
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.