Język książki: angielski
Rok wydania: 1996
Oprawa: oprawa miękka
Liczba stron: 292
Wysyłamy: 4 - 8 tygodni. Wycena indywidualna.
Książkę w tej cenie wyślemy do Ciebie za darmo za pomocą:
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. This book is intended for first, second and third year undergraduates and first year postgraduates studying group theory. "Distinctive, careful, leisurely, self-contained. . .this oddly slender 25-chapter volume is ideal both for independent study and as a resource for upper-division undergraduates, novice graduate students, or faculty."--Choice"This text is quite readable and does a good job." --Mathematical Reviews
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 less than 32; Appendix C Solutions to Exercises; Bibliography; Index