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.

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