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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 thi...
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  • 14 December 2015
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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.

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Price: $340.00
Pages: 475
Publisher: De Gruyter
Imprint: De Gruyter
Publication Date: 14 December 2015
ISBN: 9783110281453
Format: Hardcover
BISACs: MAT002000 MATHEMATICS / Algebra / General, MAT009000 MATHEMATICS / Finite Mathematics, MAT026000 MATHEMATICS / Reference
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Yakov Berkovich, University of Haifa, Israel; Zvonimir Janko, Heidelberg University, Germany.