ENGLISH

Groups of Prime Power Order

By Berkovich , Yakov

Book information

Publisher
Walter de Gruyter
Year
2008
ISBN
3110204185, 9783110204186, 9783110208221
Language
english
Format
PDF
Filesize
3 MB (2657531 bytes)
Series
de Gruyter Expositions in Mathematics
Volume
volume 1
Pages
512\533
Time added
2011-04-11 19:55:47

Description

This is the first of three volumes of a comprehensive and elementary treatment of finitep-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.

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