An Introduction to Group Theory

Agustín-Aquino; Emilio Lluis-Puebla; Mariana Montiel; Janine du Plessis An Introduction to Group Theory Applications to Mathematical Music Theory Download free books at... Agustín-Aquino

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Flor Aceff-Sánchez; Octavio A Agustín-Aquino; Emilio Lluis-Puebla; Mariana Montiel; Janine du Plessis

An Introduction to Group Theory

Applications to Mathematical Music Theory

Download free books at

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Flor Acef-Sánchez, Octavio A Agustín-Aquino, Emilio Lluis-Puebla, Mariana Montiel, Janine du Plessis

Applications to Mathematical Music Theory

Download free eBooks at bookboon.com

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An Introduction to Group Theory

Applications to Mathematical Music Theory

ISBN 978-87-403-0324-7

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Contents

Contents

1.1 Binary Operations 15

1.2 Algebraic Structures 23

1.3 Elementary Properties 37

2.1 Exact Sequences 53

2.2 Quotient Groups 60

2.3 Isomorphism heorems 70

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Contents

3.1 Finitely Generated Abelian Groups 85

3.2 Permutations, Orbits and Sylow heorems 89

3.4 Tensor Product 107

4.1 Musical Background 119

4.2 he T and I Transformations 123

4.3 he P, L and R Transformations 129

4 4 he Isomorphism between PLR and TI 136

4.5 he Duality of the TI and PLR Groups 141

4.6 Solutions to the Problems of Chapter 4 148

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