AATA Hints and Answers to Selected Exercises
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Solutions B Hints and Answers to Selected Exercises
Chapter 1 Preliminaries
¶
Exercises 1.4 Exercises
¶1.4.1.
1.4.2.
1.4.6.
1.4.10.
1.4.14.
1.4.17.
1.4.18.
1.4.20.
1.4.22.
1.4.23.
1.4.24.
1.4.25.
1.4.28.
Exercises 2.4 Exercises
¶2.4.1.
2.4.3.
2.4.8.
2.4.11.
2.4.17. Fibonacci Numbers.
2.4.19.
2.4.23.
2.4.27.
2.4.29.
Exercises 3.5 Exercises
¶3.5.1.
3.5.2.
3.5.6.
3.5.8.
3.5.15.
3.5.16.
3.5.17.
3.5.18.
3.5.25.
3.5.31.
3.5.35.
3.5.41.
3.5.46.
3.5.49.
Chapter 4 Cyclic Groups
¶
Exercises 4.5 Exercises
¶4.5.1.
4.5.2.
4.5.3.
4.5.4.
4.5.10.
4.5.11.
4.5.15.
4.5.16.
4.5.17.
4.5.18.
4.5.22.
4.5.27.
4.5.31.
4.5.37.
Chapter 5 Permutation Groups
¶
Exercises 5.4 Exercises
¶5.4.1.
5.4.2.
5.4.3.
5.4.4.
5.4.5.
5.4.8.
5.4.11.
5.4.17.
5.4.25.
5.4.30.
Chapter 6 Cosets and Lagrange's Theorem
¶
Exercises 6.5 Exercises
¶6.5.1.
6.5.2.
6.5.3.
6.5.4.
6.5.5.
6.5.7.
6.5.12.
6.5.19.
6.5.22.
Chapter 7 Introduction to Cryptography
¶
Exercises 7.4 Exercises
¶7.4.1.
7.4.3.
7.4.4.
7.4.7.
7.4.9.
7.4.10.
Chapter 8 Algebraic Coding Theory
¶
Exercises 8.6 Exercises
¶8.6.2.
8.6.3.
8.6.4.
8.6.6.
8.6.7.
8.6.9.
8.6.11.
8.6.12.
8.6.15.
8.6.19.
8.6.23.
Exercises 9.4 Exercises
¶9.4.1.
9.4.2.
9.4.3.
9.4.6.
9.4.8.
9.4.11.
9.4.16.
9.4.19.
9.4.20.
9.4.25.
9.4.27.
9.4.38.
9.4.45.
Chapter 10 Normal Subgroups and Factor Groups
¶
Exercises 10.4 Exercises
¶10.4.1.
10.4.8.
10.4.11.
10.4.12.
10.4.14.
Chapter 11 Homomorphisms
¶
Exercises 11.4 Exercises
¶11.4.2.
11.4.4.
11.4.5.
11.4.9.
11.4.17.
Chapter 12 Matrix Groups and Symmetry
¶
Exercises 12.4 Exercises
¶12.4.1.
12.4.3.
12.4.5.
12.4.7.
12.4.10.
12.4.13.
12.4.17.
Chapter 13 The Structure of Groups
¶
Exercises 13.4 Exercises
¶13.4.1.
13.4.4.
13.4.7.
13.4.12.
13.4.16.
13.4.21.
Chapter 14 Group Actions
¶
Exercises 14.5 Exercises
¶14.5.1.
14.5.2.
14.5.3.
14.5.6.
14.5.8.
14.5.11.
14.5.15.
14.5.17.
14.5.22.
Chapter 15 The Sylow Theorems
¶
Exercises 15.4 Exercises
¶15.4.1.
15.4.2.
15.4.5.
15.4.8.
15.4.10.
15.4.17.
15.4.23.
15.4.26.
Exercises 16.7 Exercises
¶16.7.1.
16.7.3.
16.7.4.
16.7.7.
16.7.8.
16.7.13.
16.7.16.
16.7.18.
16.7.26.
16.7.28.
16.7.34.
16.7.38.
Exercises 17.5 Exercises
¶17.5.2.
17.5.3.
17.5.5.
17.5.7.
17.5.8.
17.5.10.
17.5.13.
17.5.14.
17.5.16.
17.5.20. Cyclotomic Polynomials.
17.5.26.
Chapter 18 Integral Domains
¶
Exercises 18.4 Exercises
¶18.4.1.
18.4.2.
18.4.4.
18.4.9.
18.4.15.
18.4.16.
Chapter 19 Lattices and Boolean Algebras
¶
Exercises 19.5 Exercises
¶19.5.2.
19.5.5.
19.5.6.
19.5.8.
19.5.10.
19.5.14.
19.5.18.
19.5.20.
Chapter 20 Vector Spaces
¶
Exercises 20.5 Exercises
¶20.5.3.
20.5.5.
20.5.7.
20.5.10.
20.5.12.
20.5.15. Linear Transformations.
20.5.17. Direct Sums.
Exercises 21.5 Exercises
¶21.5.1.
21.5.2.
21.5.3.
21.5.5.
21.5.8.
21.5.14.
21.5.22.
21.5.27.
21.5.28.
Chapter 22 Finite Fields
¶
Exercises 22.4 Exercises
¶22.4.1.
22.4.4.
22.4.5.
22.4.7.
22.4.8.
22.4.11.
22.4.12.
22.4.17.
22.4.18.
22.4.24. Wilson's Theorem.
Chapter 23 Galois Theory
¶
Exercises 23.5 Exercises
¶23.5.1.
23.5.2.
23.5.3.
23.5.4.
23.5.5.
23.5.7.
23.5.9.
23.5.16.
23.5.20.
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