Yakov Berkovich; Zvonimir Janko: Groups of Prime Power Order / Yakov Berkovich; Zvonimir Janko: Groups of Prime Power Order. Volume 1
Seiten
| Ausstattung: Hardcover & eBook
2008
De Gruyter
9783119167031 (ISBN)
De Gruyter
9783119167031 (ISBN)
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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.
Yakov Berkovich , University of Haifa, Israel.
| Reihe/Serie | De Gruyter Expositions in Mathematics ; 46 | Yakov Berkovich; Zvonimir Janko: Groups of Prime Power Order ; Volume 1 |
|---|---|
| Zusatzinfo | Includes a print version and an ebook |
| Verlagsort | Berlin/Boston |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
| Schlagworte | group theory • Group Theory; Order; Primes • Gruppentheorie • Order • Primes • Primzahl • Zyklische Ordnung |
| ISBN-13 | 9783119167031 / 9783119167031 |
| Zustand | Neuware |
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