Algebraic Generalizations of Discrete Groups: A Path to Combinatorial Group Theory Through One-Relator Products

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CRC Press, Jul 27, 1999 - Mathematics - 328 pages
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A survey of one-relator products of cyclics or groups with a single defining relation, extending the algebraic study of Fuchsian groups to the more general context of one-relator products and related group theoretical considerations. It provides a self-contained account of certain natural generalizations of discrete groups.
 

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Contents

OneRelator Groups
39
Discrete Groups
77
OneRelator Products
111
OneRelator Products of Cyclica
137
Linear Properties of OneRelator Products
159
Groups of FType
221
Related Generali2ations of Discrete Groups
253
Bibliography and References
291
Subject Index
309
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