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The History of Combinatorial Group Theory

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Cover of 'The History of Combinatorial Group Theory'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction to Part I
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    Chapter 2 The Foundation: Dyck’s Group-Theoretical Studies
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    Chapter 3 The Origin: The Theory of Discontinuous Groups
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    Chapter 4 Motivation: The Fundamental Groups of Topological Spaces
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    Chapter 5 The Graphical Representation of Groups
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    Chapter 6 Precursors of Later Developments
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    Chapter 7 Summary
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    Chapter 8 Modes of Communication. Growth and Distribution of Research in Group Theory
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    Chapter 9 Biographical Notes
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    Chapter 10 Notes on Terminology and Definitions
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    Chapter 11 Sources
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    Chapter 12 Introduction to Part II
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    Chapter 13 Free Groups and Their Automorphisms
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    Chapter 14 The Reidemeister—Schreier Method
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    Chapter 15 Free Products and Free Products with Amalgamations
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    Chapter 16 One-Relator Groups
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    Chapter 17 Metabelian Groups and Related Topics
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    Chapter 18 Commutator Calculus and the Lower Central Series
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    Chapter 19 Varieties of Groups
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    Chapter 20 Topological Properties of Groups and Group Extensions
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    Chapter 21 Notes on Special Groups
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    Chapter 22 Postscript: The Impact of Mathematical Logic
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    Chapter 23 Modes of Communication
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    Chapter 24 Geographical Distribution of Research and Effects of Migration
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    Chapter 25 Organization of Knowledge
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