Groups of Prime Power Order. Volume 4
Book Details
Format
Hardback or Cased Book
Book Series
De Gruyter Expositions in Mathematics
ISBN-10
3110281457
ISBN-13
9783110281453
Publisher
De Gruyter
Imprint
De Gruyter
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Dec 14th, 2015
Print length
475 Pages
Weight
935 grams
Product Classification:
Algebra
Ksh 34,550.00
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Includes theory of linear algebras and Lie algebras. This book contains exercises (with difficult exercises being solved) and a list of about 900 research problems and themes.
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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