An Introduction to Group Theory Applications to Mathematical Music Theory

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Last edited by Alice Kirk
January 14, 2016 | History

An Introduction to Group Theory Applications to Mathematical Music Theory

The success of Group Theory is impressive and extraordinary.

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Table of Contents

Innhold
List of Figures
Preface
Introduction
Chapter 1
Binary Operations
Algebraic Structures
Elementary Properties
Cyclic Groups
Chapter 2
Exact Sequences
Quotient Groups
Isomorphism Theorems
Products
Chapter 3
Finitely Generated Abelian Groups
Permutations, Orbits and Sylow Theorems
Free Groups
Tensor Product
Chapter 4
Musical Background
The T and I Transformations
The P, L and R Transformations
The Isomorphism between PLR and TI
The Duality of the TI and PLR Groups
Solutions to the Problems of Chapter 4
List of Symbols
Index
Bibliography and References
The Authors
Endnotes

Edition Identifiers

Open Library
OL25886459M
ISBN 13
9788740303247

Work Identifiers

Work ID
OL17312707W

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January 14, 2016 Edited by Alice Kirk
January 14, 2016 Created by Alice Kirk Added new book.