AATA Hints and Solutions to Selected Exercises
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Chapter B Hints and Solutions to Selected Exercises
Chapter 1 Preliminaries
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Section 1.3 Exercises
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1.3.1
1.3.2
1.3.6
1.3.10
1.3.14
1.3.17
1.3.18
1.3.20
1.3.22
1.3.23
1.3.24
1.3.25
1.3.28
Section 2.3 Exercises
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2.3.1
2.3.3
2.3.8
2.3.11
2.3.17 Fibonacci Numbers
2.3.19
2.3.23
2.3.27
2.3.29
Section 3.4 Exercises
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3.4.1
3.4.2
3.4.6
3.4.8
3.4.15
3.4.16
3.4.17
3.4.18
3.4.25
3.4.31
3.4.35
3.4.41
3.4.46
3.4.49
Chapter 4 Cyclic Groups
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Section 4.4 Exercises
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4.4.1
4.4.2
4.4.3
4.4.4
4.4.10
4.4.11
4.4.15
4.4.16
4.4.17
4.4.18
4.4.22
4.4.27
4.4.31
4.4.37
Chapter 5 Permutation Groups
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Section 5.3 Exercises
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5.3.1
5.3.2
5.3.3
5.3.4
5.3.5
5.3.8
5.3.11
5.3.17
5.3.25
5.3.30
Chapter 6 Cosets and Lagrange's Theorem
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Section 6.4 Exercises
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6.4.1
6.4.2
6.4.3
6.4.4
6.4.5
6.4.7
6.4.12
6.4.19
6.4.22
Chapter 7 Introduction to Cryptography
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Section 7.3 Exercises
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7.3.1
7.3.3
7.3.4
7.3.7
7.3.9
7.3.10
Chapter 8 Algebraic Coding Theory
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Section 8.5 Exercises
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8.5.2
8.5.3
8.5.4
8.5.6
8.5.7
8.5.9
8.5.11
8.5.12
8.5.15
8.5.19
8.5.23
Section 9.3 Exercises
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9.3.1
9.3.2
9.3.3
9.3.6
9.3.8
9.3.11
9.3.16
9.3.19
9.3.20
9.3.25
9.3.27
9.3.38
9.3.45
Chapter 10 Normal Subgroups and Factor Groups
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Section 10.3 Exercises
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10.3.1
10.3.8
10.3.11
10.3.12
10.3.14
Chapter 11 Homomorphisms
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Section 11.3 Exercises
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11.3.2
11.3.4
11.3.5
11.3.9
11.3.17
Chapter 12 Matrix Groups and Symmetry
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Section 12.3 Exercises
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12.3.1
12.3.3
12.3.5
12.3.7
12.3.10
12.3.13
12.3.17
Chapter 13 The Structure of Groups
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Section 13.3 Exercises
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13.3.1
13.3.4
13.3.7
13.3.12
13.3.16
13.3.21
Chapter 14 Group Actions
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Section 14.4 Exercises
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14.4.1
14.4.2
14.4.3
14.4.6
14.4.8
14.4.11
14.4.15
14.4.17
14.4.22
Chapter 15 The Sylow Theorems
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Section 15.3 Exercises
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15.3.1
15.3.2
15.3.5
15.3.8
15.3.10
15.3.17
15.3.23
15.3.26
Section 16.6 Exercises
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16.6.1
16.6.3
16.6.4
16.6.7
16.6.8
16.6.13
16.6.16
16.6.18
16.6.26
16.6.28
16.6.34
16.6.38
Section 17.4 Exercises
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17.4.2
17.4.3
17.4.5
17.4.7
17.4.8
17.4.10
17.4.13
17.4.14
17.4.16
17.4.20 Cyclotomic Polynomials
17.4.26
Chapter 18 Integral Domains
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Section 18.3 Exercises
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18.3.1
18.3.2
18.3.4
18.3.9
18.3.15
18.3.16
Chapter 19 Lattices and Boolean Algebras
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Section 19.4 Exercises
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19.4.2
19.4.5
19.4.6
19.4.8
19.4.10
19.4.14
19.4.18
19.4.20
Chapter 20 Vector Spaces
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Section 20.4 Exercises
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20.4.3
20.4.5
20.4.7
20.4.10
20.4.12
20.4.15 Linear Transformations
20.4.17 Direct Sums
Section 21.4 Exercises
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21.4.1
21.4.2
21.4.3
21.4.5
21.4.8
21.4.14
21.4.22
21.4.27
21.4.28
Chapter 22 Finite Fields
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Section 22.3 Exercises
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22.3.1
22.3.4
22.3.5
22.3.7
22.3.8
22.3.11
22.3.12
22.3.17
22.3.18
22.3.24 Wilson's Theorem
Chapter 23 Galois Theory
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Section 23.4 Exercises
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23.4.1
23.4.2
23.4.3
23.4.4
23.4.5
23.4.7
23.4.9
23.4.16
23.4.20
