Groups of Prime Power Order. Volume 1. Vol.1
255,00 €*
Sofort verfügbar, Lieferzeit: 1-3 Tage
Produktnummer:
9783110204186
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.
| Autor: | Berkovich, Yakov |
|---|---|
| EAN: | 9783110204186 |
| Sprache: | Englisch |
| Seitenzahl: | 512 |
| Produktart: | Gebunden |
| Verlag: | De Gruyter |
| Schlagworte: | Gruppentheorie Primzahl |
| Größe: | 240 × 168 × 25 |
| Gewicht: | 994 g |
