The Leading eBooks Store Online 3,964,430 members ⚫ 1,303,930 ebooks

New to eBooks.com?

Learn more

Groups of Prime Power Order. Volume 1

Groups of Prime Power Order. Volume 1 by Yakov Berkovich
Buy this eBook
US$ 224.00
(If any tax is payable it will be calculated and shown at checkout.)

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.

De Gruyter; December 2008
532 pages; ISBN 9783110208221
Read online, or download in secure PDF format
Title: Groups of Prime Power Order. Volume 1
Author: Yakov Berkovich