The restricted Burnside problem
著者
書誌事項
The restricted Burnside problem
（London Mathematical Society monographs, . New series,
Clarendon Press , Oxford University Press, 1993
2nd ed
大学図書館所蔵 件 / 全26件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references and index
内容説明・目次
内容説明
The first edition of this book provided an account of the restricted Burnside problem making extensive use of Lie ring techniques to provide a uniform treatment of the field. It also included Kostrikin's theorem for groups of prime exponent.
The second edition, as well as providing general updating, contains a new chapter on E.I. Zelmanov's highly acclaimed and recent solution to the Restricted Burnside Problem for arbitrary prime-power exponent. This material is currently only available in papers in Russian journals. This proof of Zelmanov's theorem given in the new edition is self contained, and (unlike Zelmanov's original proof) does not rely on the theory of Jordan algebras.
目次
- Preface
- Contents
- Notation
- 1. Basic concepts
- 2. The associated Lie ring of a group
- 3. Kostrikin's Theorem
- 4. Razmyslov's theorem
- 5. Groups of exponent two, three, and six
- 6. Groups of exponent four
- 7. Groups of prime exponent
- 8. Groups of prime-power exponent
- 9. Zelmanov's Theorem
- Appendix A
- Appendix B
- Index
「Nielsen BookData」 より