A Course in Group Theory (Oxford Science Publications)

個数:

A Course in Group Theory (Oxford Science Publications)

  • 提携先の海外書籍取次会社に在庫がございます。通常2週間で発送いたします。
    重要ご説明事項
    1. 納期遅延や、ご入手不能となる場合が若干ございます。
    2. 複数冊ご注文の場合、分割発送となる場合がございます。
    3. 美品のご指定は承りかねます。
  • 製本 Paperback:紙装版/ペーパーバック版/ページ数 288 p.
  • 言語 ENG
  • 商品コード 9780198534594
  • DDC分類 512.2

基本説明

This book is an excellent and selfcontained introduction to the theory of groups, covering all topics likely to be encountered in undergraduate courses.

Full Description


This book is an excellent and self-contained introduction to the theory of groups, covering all topics likely to be encountered in undergraduate courses. It aims to stimulate and encourage undergraduates to find out more about their subject. The book takes as its theme the various fundamental classification theorems in finite group theory, and the text is further explained in numerous examples and exercises, and summaries at the end of each chapter.

Contents

1. Definitions and examples ; 2. Maps and relations on sets ; 3. Elementary consequences of the definitions ; 4. Subgroups ; 5. Cosets and Lagrange's Theorem ; 6. Error-correcting codes ; 7. Normal subgroups and quotient groups ; 8. The Homomorphism Theorem ; 9. Permutations ; 10. The Orbit-Stabilizer Theorem ; 11. The Sylow Theorems ; 12. Applications of Sylow Theorems ; 13. Direct products ; 14. The classification of finite abelian groups ; 15. The Jordan-Holder Theorem ; 16. Composition factors and chief factors ; 17. Soluble groups ; 18. Examples of soluble groups ; 19. Semi-direct products and wreath products ; 20. Extensions ; 21. Central and cyclic extensions ; 22. Groups with at most 31 elements ; 23. The projective special linear groups ; 24. The Mathieu groups ; 25. The classification of finite simple groups ; Appendix A Prerequisites from Number Theory and Linear Algebra ; Appendix B Groups of order < 32 ; Appendix C Solutions to Exercises ; Bibliography ; Index