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Science/Engineering Groups of Prime Power Order Volume 1

Posted on 2010-03-15




Name:Science/Engineering Groups of Prime Power Order Volume 1
ASIN/ISBN:3110204185
Language:English
File size:2.7 Mb
Publish Date: 2008-11-15
ISBN: 3110204185
Pages: 512 pages
File Type: PDF
File Size: 2,7 MB
Other Info: Walter de Gruyter
   Science/Engineering Groups of Prime Power Order Volume 1

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Berkovich, Yakov, “Groups of Prime Power Order Volume 1”

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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