Author | Chandler, Bruce. author |
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Title | The History of Combinatorial Group Theory [electronic resource] : A Case Study in the History of Ideas / by Bruce Chandler, Wilhelm Magnus |
Imprint | New York, NY : Springer New York, 1982 |
Connect to | http://dx.doi.org/10.1007/978-1-4613-9487-7 |
Descript | VIII, 234 p. online resource |
I The Beginning of Combinatorial Group Theory -- I.I Introduction to Part I -- I.2 The Foundations: Dyckโs Group-Theoretical Studies -- I.3 The Origin: The Theory of Discontinuous Groups -- I.4 Motivation: The Fundamental Groups of Topological Spaces -- I.5 The Graphical Representation of Groups -- I.6 Precursors of Later Developments -- I.7 Summary -- I.8 Modes of Communication. Growth and Distribution of Research in Group Theory -- I.9 Biographical Notes -- I.10 Notes on Terminology and Definitions -- I.11 Sources -- II The Emergence of Combinatorial Group Theory as an Independent Field -- II. 1 Introduction to Part II -- II.2 Free Groups and Their Automorphisms -- II.3 The ReidemeisterโSchreier Method -- II.4 Free Products and Free Products with Amalgamations -- II.5 One-Relator Groups -- II.6 Metabelian Groups and Related Topics -- II.7 Commutator Calculus and the Lower Central Series -- II.8 Varieties of Groups -- II.9 Topological Properties of Groups and Group Extensions -- II.10 Notes on Special Groups -- II.11 Postscript: The Impact of Mathematical Logic -- II.12 Modes of Communication -- II.13 Geographical Distribution of Research and Effects of Migration -- II.14 Organization of Knowledge -- Index of Names -- Index of Subjects