Groups of Prime Power Order
Overview
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.
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Details
- ISBN-13: 9783110204186
- ISBN-10: 3110204185
- Publisher: de Gruyter
- Publish Date: November 2008
- Dimensions: 9.61 x 6.69 x 1.13 inches
- Shipping Weight: 2.3 pounds
- Page Count: 532
- Reading Level: Ages 22-22
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