Download Book Groups of Prime Power Order. Volume 1 : Groups of Prime Power Order. Volume 1
PDF by Berkovich, Yakov
Information
Format: PDF Language: English Publisher: De Gruyter Publication Date of the Electronic Edition: 2008
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ISBN: 9783110204186, 9783110208221
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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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