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Groups of Prime Power Order. Volume 4 by Yakov G. Berkovich, Zvonimir Janko

Groups of Prime Power Order. Volume 4

by Yakov G. Berkovich , Zvonimir Janko
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Book cover type: Hardcover
  • ISBN13: 9783110281453
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: de Gruyter
  • Publisher Imprint: de Gruyter
  • Publication Date:
  • Pages: 475
  • Original Price: GBP 173.5
  • Language: English
  • Edition: N/A
  • Item Weight: 953 grams
  • BISAC Subject(s): Group Theory

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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