TY - BOOK AU - Gallian, Joseph A. TI - Contemporary abstract algebra SN - 9780367651787 (hbk) U1 - 512.02 PY - 2021/// CY - US: PB - CRC Press KW - Algebra, Abstract N1 - 1. 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 ER -