Algebraic generalizations of discrete groups : a path to combinatorial group theory through one-relator products

Bibliographic Information

Algebraic generalizations of discrete groups : a path to combinatorial group theory through one-relator products

Benjamin Fine, Gerhard Rosenberger

(Monographs and textbooks in pure and applied mathematics, 223)

Marcel Dekker, c1999

  • : hard

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Note

Includes bibliographical references and indexes

Description and Table of Contents

Description

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.

Table of Contents

  • Introduction and historical remarks
  • preliminaries from combinatorial group theory
  • one-relator groups
  • discrete groups
  • one-relator products
  • one-relator products of cyclics
  • linear properties of one-relator products of cyclics
  • groups of F-type
  • related generalizations of discrete groups.

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