Topics in group theory

Geoff Smith and Olga Tabachnikova

The theory of groups is simultaneously a branch of abstract algebra and the study of symmetry. Designed for readers approaching the subject for the first time, this book reviews all the essentials. It recaps the basic definitions and results, including Lagranges Theorem, the isomorphism theorems and group actions. Later chapters include material on chain conditions and finiteness conditions, free groups and the theory of presentations. In addition, a novel chapter of "entertainments" demonstrates an assortment of results that can be achieved with the theoretical machinery.

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  • 1. The Elements.- 2. Structure.- 3. Action.- 4. Entertainments.- 5. Law.- 6. Presentations.- 7. Appendix A: Fields.- 8. Appendix B: Relations and Orderings.- Further Reading.- Solutions.

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書名 Topics in group theory
著作者等 Smith, Geoff
Tabachnikova Olga
シリーズ名 Springer undergraduate mathematics series
出版元 Springer
刊行年月 c2000
ページ数 xiii, 255 p.
大きさ 24 cm
ISBN 1852332352
NCID BA47600901
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言語 英語
出版国 イギリス