Groups of Prime Power Order. Volume 4

by Yakov G. Berkovich, Zvonimir Janko

Overview

This is the fourth volume of a comprehensive and elementary treatment of finite p-group theory. As in the previous volumes, minimal nonabelian p-groups play an important role. Topics covered in this volume include:

• subgroup structure of metacyclic p-groups
• Ishikawa’s theorem on p-groups with two sizes of conjugate classes
• p-central p-groups
• theorem of Kegel on nilpotence of H p-groups
• partitions of p-groups
• characterizations of Dedekindian groups
• norm of p-groups
• p-groups with 2-uniserial subgroups of small order

The book also contains hundreds of original exercises and solutions and a comprehensive list of more than 500 open problems. This work is suitable for researchers and graduate students with a modest background in algebra.

Product Details

ISBN-13:	9783110281453
Publisher:	De Gruyter
Publication date:	12/14/2015
Series:	De Gruyter Expositions in Mathematics , #61
Pages:	475
Product dimensions:	6.69(w) x 9.45(h) x (d)
Age Range:	18 Years

About the Author

Yakov Berkovich, University of Haifa, Israel; Zvonimir Janko, Heidelberg University, Germany.

Editorial Reviews

"Again, buy these books and learn from it!"R.W. van der Waall in: Zentralblatt MATH 1168

From the Publisher