00000cam a22000004i 4500 UP-1685594773862036201 Buklod 20160907212246.0 g||| | || || ta 160907s1990 maua rb |||1 u|eng d 0669194964 (iLib)UPBAG-00021792091 DLC BAG rda eng QA 162 G35 1990 Gallian, Joseph A. 1942- author. Contemporary abstract algebra Joseph A. Galian. Second edition. Lexington, Massachusetts D.C. Health and Company ©1990. xxiv, 523 pages in various pagings illustrations 25 cm Includes bibliographical references and indexes. Integers and equivalence relations -- Preliminaries -- Groups -- Introduction to groups -- Groups -- Finite groups; subgroups -- Cyclic groups -- Supplementary exercises for chapters -- Permutation groups -- Isomorphisms -- External direct products -- Internal direct products -- Supplementary exercises for chapters 5-8 -- Cosets and Langrange's theorem -- Normal subgroups and factor groups -- Group homomorphisms -- Fundamental theorem of finite Abelian groups -- Supplementary exercises for chapters 9-12 -- Rings -- Introduction to rings -- properties of rings -- Integral domains -- Ideals and factor rings -- Supplementary exercises for chapters 13-16 -- Ring homomorphisms -- Polynomial rings -- Factorization of polynomials -- Divisibility of integral domains -- Supplementary exercises for chapters 17-20 -- Fields -- Vector spaces -- Extension fields -- Algebraic extensions -- Finite fields -- Geometric constructions -- Supplementary exercises for chapters 20-25 -- Special topics -- Sylow theorems -- Finite simple groups -- Generators and relations -- Symmetry groups -- Frieze groups and crystallographic groups -- Cayley digraphs of groups -- Introduction to algebraic coding theory -- An introduction to algebraic coding theory -- An introduction to Galois theory -- An introduction to Boolean algebras --Supplementary exercises for chapters 26-34 -- Selected answers. Algebra, Abstract. FO UPBAG UPBAG-MAIN QA 162 G35 1990 Book