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.