Yakov Berkovich; Zvonimir Janko: Groups of Prime P - Volume 1: Groups of Prime Power Order. Volume 1. Vol.1

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.

Info autore

Yakov Berkovich , University of Haifa, Israel.

Dettagli sul prodotto

• Autori: Yakov Berkovich
• Editore: De Gruyter
• Lingue: Inglese
• Formato: Copertina rigida
• Pubblicazione: 20.11.2008
• EAN: 9783110204186
• ISBN: 978-3-11-020418-6
• Pagine: 512
• Dimensioni: 168 mm x 25 mm x 240 mm
• Peso: 994 g
• Collane: Yakov Berkovich; Zvonimir Janko: Groups of Prime P; Yakov Berkovich; Zvonimir Janko: Groups of Prime P; Yakov Berkovich; Zvonimir Janko: Groups of Prime Power Order; Groups of Prime Power Order
• Serie: De Gruyter Expositions in Mathematics; Gruyter Expositions in Mathematics; De Gruyter Expositions in Mathematics; ISSN; Yakov Berkovich; Zvonimir Janko: Groups of Prime Power Order
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Aritmetica, algebra