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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-Hölder 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
| Price | Condition | Delivery | Seller | Action |
| $99.99 | Digital |
| WonderClub |
Waldo Vandersuage
reviewed A Course in Group Theory on January 03, 2013 A Course in Group Theory
A short but sweet little book; jam packed with goodies of matter.
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Add A Course in Group Theory, The classification of the finite simple groups is one of the major intellectual achievements of this century, but it remains almost completely unknown outside of the mathematics community. This introduction to group theory is also an attempt to make , A Course in Group Theory to the inventory that you are selling on WonderClubX
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Add A Course in Group Theory, The classification of the finite simple groups is one of the major intellectual achievements of this century, but it remains almost completely unknown outside of the mathematics community. This introduction to group theory is also an attempt to make , A Course in Group Theory to your collection on WonderClub |
