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Groups of Prime Power Order: Volume 4

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Groups of Prime Power Order: Volume 4

Yakov G. Berkovich, Zvonimir Janko
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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.

Tahun:
2015
Penerbit:
De Gruyter
Bahasa:
english
Halaman:
475
ISBN 10:
3110281473
ISBN 13:
9783110281477
Nama siri:
De Gruyter Expositions in Mathematics; 61
Fail:
EPUB, 11.05 MB
IPFS:
CID , CID Blake2b
english, 2015
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