000 01390nam a22001937a 4500
999 _c21139
_d21139
005 20220426160154.0
008 220426b ||||| |||| 00| 0 eng d
020 _a9780367651787 (hbk)
040 _cUE-CL
082 _a512.02
_bG1367
100 _aGallian, Joseph A.
245 _aContemporary abstract algebra
_c/ Joseph A. Gallian
250 _a10th ed.
260 _aUS:
_bCRC Press,
_c2021
300 _a635 p.
650 _aAlgebra, Abstract
942 _cBK
505 0 _a1. Preliminaries 2. Introduction to groups 3. Groups 4. Finite groups: subgroups 5. Cyclic groups 6. Permutation groups 7. Isomorphisms 8. Cosets and lagrange’s theorem 9. External direct products 10. Normal subgroups and factor groups 11. Group homomorphisms 12. Fundamental theorem of finite abelian groups 13. Introduction to rings 14. Integral domains 15. Ideals and factor rings 16. Ring homomorphism 17. Polynomial rings 18. Factorization of polynomials 19. Divisibility in integral domains 20. Extension fields 21. Algebraic extensions 22. Finite fields 23. Geometric constructions 24. Sylow theorems 25. Finite simple groups 26. Generators and relations 27. Symmetry groups 28. Symmetry and counting 29. Cayley digraphs of groups 30. Introduction to algebraic coding theory 31. An introduction to Galois theory 32. Cyclotomic extensions