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- Author: Yakov Berkovich
- Publisher: De Gruyter
- Year: 2008
- Pages: 532
- ISBN-10: 3110204185
- ISBN-13: 9783110204186
- Format: 17 x 24.4 x 2.9 cm, hardcover
- Language: English
- SAVE -10% with code: EXTRA
Yakov Berkovich; Zvonimir Janko: Groups of Prime Power Order. Volume 1 (e-book) (used book) | bookbook.eu
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Description
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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- Author: Yakov Berkovich
- Publisher: De Gruyter
- Year: 2008
- Pages: 532
- ISBN-10: 3110204185
- ISBN-13: 9783110204186
- Format: 17 x 24.4 x 2.9 cm, hardcover
- Language: English English
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.
Reviews