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.

About the author

Yakov Berkovich , University of Haifa, Israel.

Product details

• Authors: Yakov Berkovich
• Publisher: De Gruyter
• Languages: English, German
• Product format: Hardback
• Released: 20.11.2008
• EAN: 9783110204186
• ISBN: 978-3-11-020418-6
• No. of pages: 512
• Dimensions: 168 mm x 25 mm x 240 mm
• Weight: 994 g
• Sets: 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
• Series: De Gruyter Expositions in Mathematics; Gruyter Expositions in Mathematics; De Gruyter Expositions in Mathematics; ISSN; Yakov Berkovich; Zvonimir Janko: Groups of Prime Power Order
• Subject: Natural sciences, medicine, IT, technology > Mathematics > General, dictionaries