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Groups of Prime Power Order. Volume 4 (eBook, PDF) - Berkovich, Yakov G.; Janko, Zvonimir
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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…mehr

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