A first course in abstract algebra
By: John B. Fraleigh.
Edition: 3rd ed.
Publisher: Addison-Wesley Pub. Co.
Published: 1982
Place of publication: Reading, Mass
Language: eng
Format: Hardcover
Number of pages: 478
ISBN-13: 9780201104059
Subjects: Algebra, Abstract.
Notes: Bibliography: p. 448-450.
Includes index.
Table of contents: title: pt. I. Groups.; title: Binary operations; title: Groups; title: Subgroups; title: Permutations I; title: Permutations II; title: Cyclic groups; title: Isomorphism; title: Direct products; title: Finitely generated abelian groups; title: Groups in geometry; title: Groups of cosets; title: Normal subgroups and factor groups; title: Homomorphisms; title: Series of groups; title: Isomorphism theorems; proof of the Jordan-Hölder theorem; title: Group action on a set; title: Applications of G-sets to counting; title: Sylow theorems; title: Applications of the Sylow theory; title: Free abelian groups; title: Free groups; title: Group presentations; title: pt. II. Rings and fields.; title: Rings; title: Integral domains; title: Some noncommutative examples; title: The field of quotients of an integral domain; title: Our basic goal; title: Quotient rings and ideals; title: Homomorphisms of rings; title: Rings of polynomials; title: Factorization of polynomials over a field; title: Unique factorization domains; title: Euclidean domains; title: Gaussian integers and norms; title: Introduction to extension fields; title: Vector spaces; title: Further algebraic structures; title: Algebraic extensions; title: Geometric constructions; title: Automorphisms of fields; title: The isomorphism extension theorem; title: Splitting fields; title: Separable extensions; title: Totally inseparable extensions; title: Finite fields; title: Galois theory; title: Illustrations of Galois theory; title: Cyclotomic extensions; title: Insolvability of the quintic