Yakov Berkovich; Zvonimir Janko: Groups of Prime Power Order. Volume 1 (Hardcover)

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.

General

Imprint:	De Gruyter
Country of origin:	Germany
Series:	De Gruyter Expositions in Mathematics
Release date:	November 2008
First published:	November 2008
Authors:	Yakov Berkovich
Dimensions:	240 x 170 x 29mm (L x W x T)
Format:	Hardcover
Pages:	532
ISBN-13:	978-3-11-020418-6
Categories:	Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory Promotions
LSN:	3-11-020418-5
Barcode:	9783110204186

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