Groups of Prime Power Order. Volume 4

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A01=Yakov G. Berkovich
A01=Zvonimir Janko
Author_Yakov G. Berkovich
Author_Zvonimir Janko
Category=GBC
Category=PBD
Category=PBF
Category=PBG
eq_isMigrated=1
eq_nobargain
Group theory

Product details

  • ISBN 9783110281453
  • Weight: 935g
  • Dimensions: 170 x 240mm
  • Publication Date: 14 Dec 2015
  • Publisher: De Gruyter
  • Publication City/Country: DE
  • Product Form: Hardback
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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.

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

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