| Description |
xii, 279 pages ; 24 cm |
| Series |
Oxford science publications |
|
Oxford science publications.
|
| 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-Stabiliser Theorem -- 11. The Sylow Theorems --12. Applications of Sylow theory -- 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. Semidirect 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 -- A Prerequisites from number theory and linear algebra --B Groups of order < 32 -- C Solutions to exercises |
| Notes |
Includes index |
| Bibliography |
Includes bibliographical references (pages [275]-276) and index |
| Subject |
Finite groups.
|
|
Group theory.
|
| LC no. |
97108432 |
| ISBN |
0198534531 (hbk.) |
|
0198534590 (paperback) |
|
