The restricted Burnside problem
著者
書誌事項
The restricted Burnside problem
（London Mathematical Society monographs, new ser.,
Clarendon Press , Oxford University Press, 1990
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注記
Bibliography: p. [204]-206
Includes index
内容説明・目次
内容説明
In 1902 William Burnside wrote "A still undecided point in the theory of discontinuous groups is whether the order of a group may not be finite while the order of every operation it contains is finite". Since then, the Burnside problem, in different guises, has inspired a considerable amount of research. This book aims to give a comprehensive account of a variant on the Burnside problem - the restricted Burnside problem. Making extensive use of Lie ring techniques it allows a uniform treatment of the field and includes Kostrikin's theorem for groups of prime exponent as well as detailed information on groups of small exponent. The treatment is intended to be self-contained and as such will be valuable to postgraduate students and research workers in the field. The author has included extensive details of the use of computer algebra to verify computations.
目次
- Basic concepts
- the associated Lie ring of a group
- Kostrikin's theorem
- Razmyslov's theorem
- groups of exponent two, three and six
- groups of exponent four
- groups of prime exponent
- groups of prime-power exponent.
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