| Groups of Prime Power Order. Volume 1 Contributor(s): Berkovich, Yakov (Author) |
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ISBN: 3110204185 ISBN-13: 9783110204186 Publisher: de Gruyter OUR PRICE: $285.00 Product Type: Hardcover - Other Formats Published: November 2008 |
| Additional Information |
| BISAC Categories: - Mathematics | Group Theory - Mathematics | Algebra - General - Mathematics | Reference |
| Dewey: 512.2 |
| Series: de Gruyter Expositions in Mathematics |
| Physical Information: 1.13" H x 6.69" W x 9.61" (2.30 lbs) 532 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |