SOLUTION MANUAL
All Chapters Included
,Student Solutions
Manual
Contemporary Abstract
Algebra
Tenth Edition
Joseph A. Gallian
,
, v
STUDENT SOLUTIONS MANUAL
CONTEMPORARY ABSTRACT
ALGEBRA, TENTH EDITION
SELECTED PROBLEMS
CONTENTS
Integers and Equivalence Relations
0 Preliminaries 1
Groups
1 Introduction to Groups 4
2 Groups 6
3 Finite Groups; Subgroups 9
4 Cyclic Groups 15
5 Permutation Groups 21
6 Isomorphisms 27
7 Cosets and Lagrange’s Theorem 32
8 External Direct Products 38
9 Normal Subgroups and Factor Groups 45
10 Group Homomorphisms 50
11 Fundamental Theorem of Finite Abelian 55
Groups
12 Introduction to Rings 59
13 Integral Domains 63
14 Ideals and Factor Rings 69
15 Ring Homomorphisms 74
16 Polynomial Rings 80
17 Factorization of Polynomials 85
18 Divisibility in Integral Domains 89
Field
s
19 Extension Fields 93
20 Algebraic Extensions 97
21 Finite Fields 101
22 Geometric Constructions 105
All Chapters Included
,Student Solutions
Manual
Contemporary Abstract
Algebra
Tenth Edition
Joseph A. Gallian
,
, v
STUDENT SOLUTIONS MANUAL
CONTEMPORARY ABSTRACT
ALGEBRA, TENTH EDITION
SELECTED PROBLEMS
CONTENTS
Integers and Equivalence Relations
0 Preliminaries 1
Groups
1 Introduction to Groups 4
2 Groups 6
3 Finite Groups; Subgroups 9
4 Cyclic Groups 15
5 Permutation Groups 21
6 Isomorphisms 27
7 Cosets and Lagrange’s Theorem 32
8 External Direct Products 38
9 Normal Subgroups and Factor Groups 45
10 Group Homomorphisms 50
11 Fundamental Theorem of Finite Abelian 55
Groups
12 Introduction to Rings 59
13 Integral Domains 63
14 Ideals and Factor Rings 69
15 Ring Homomorphisms 74
16 Polynomial Rings 80
17 Factorization of Polynomials 85
18 Divisibility in Integral Domains 89
Field
s
19 Extension Fields 93
20 Algebraic Extensions 97
21 Finite Fields 101
22 Geometric Constructions 105
