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.