Groups of Prime Power Order. Volume 4

ebook De Gruyter Expositions in Mathematics

By Yakov G. Berkovich

cover image of Groups of Prime Power Order. Volume 4

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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.

    Groups of Prime Power Order. Volume 4