Groups of Prime Power Order Volume 1 is popular PDF and ePub book, written by Yakov Berkovich in 2008-12-10, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Groups of Prime Power Order Volume 1 can be Read Online from any device for your convenience.
Groups of Prime Power Order Volume 1 Book PDF Summary
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.
Detail Book of Groups of Prime Power Order Volume 1 PDF
- Author : Yakov Berkovich
- Release : 10 December 2008
- Publisher : Walter de Gruyter
- ISBN : 9783110208221
- Genre : Mathematics
- Total Page : 533 pages
- Language : English
- PDF File Size : 10,6 Mb
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