Groups of Prime Power Order. Volume 4

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.

Auteur

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