Contemporary abstract algebra

by Gallian, Joseph A.

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Title Statements

Full title :Contemporary abstract algebra / Joseph A. Gallian.

Edition Statements

Publication Date:2021
Edition:Tenth edition

Publication Statements

Publisher(s):CRC, Taylor & Francis Group
Place of Publication:Boca Raton, FL
Language:eng
Publication Date:2021

Notes

"A Chapman & Hall book"

The Physical Object

Description:xviii, 635 pages : : illustrations (black and white) ; : 26 cm.

Edition Identifiers

ISBN:9780367651787, 0367651785
oclc:on1222797977
LC Classification:QA162
Dewey Decimal:512/.02

Introduction to Groups -- Groups -- Finite Groups; Subgroups -- Cyclic Groups -- Permutation Groups -- Ismorphisms -- Cosets and Lagrange's Theorem -- External Direct Products -- Normal Subgroups and Factor Groups -- Group Homomorphisms -- Fundamental Theorem of Finite Abelian Groups -- Introduction to Rings -- Integral Domains -- Ideals and Factor Rings -- Ring Homomorphisms -- Polynomial Rings -- Factorization of Polynomials -- Divisibilty in Integral Domains -- Extension Fields -- Algebraic Extensions -- Finite Fields -- Geometric Constructions -- Sylow Theorems -- Finite Simple Groups -- Generators and Relations -- Symmetry Groups -- Symmetry and Counting -- Cayley Digraphs of Groups -- Introduction to Algebraic Coding Theory -- An Introduction to Galois Theory -- Cyclotomic Extensions.

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