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