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Groups of Prime Power Order. Volume 4 (de Gruyter Expositions in Mathematics #61)
Current price:
$300.00
Publication Date: December 14th, 2015
Publisher:
de Gruyter
ISBN:
9783110281453
Pages:
475
Usually Ships in 1 to 5 Days
Description
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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