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Algebra VII Combinatorial Group Theory Applications to Geometry

From the reviews of the first printing of this book, published as volume 58 of the Encyclopaedia of Mathematical Sciences: "... This book will be very useful as a reference and guide to researchers and graduate students in algebra and and topology." Acta Scientiarum Mathematicarum, Ungarn,...

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Bibliographic Details
Main Authors: Collins, D.J., Grigorchuk, R.I. (Author), Kurchanov, P.F. (Author), Zieschang, H. (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1993, 1993
Edition:1st ed. 1993
Series:Encyclopaedia of Mathematical Sciences
Subjects:
Group Theory And Generalizations
Algebraic Topology
Group Theory
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • I. Combinatorial Group Theory and Fundamental Groups
  • 1. Group Presentations and 2-Complexes
  • 2. Free Groups and Free Products
  • 3. Surfaces and Planar Discontinuous Groups
  • 4. Cancellation Diagrams and Equations Over Groups
  • 5. 3-Manifolds and Knots
  • 6. Cohomological Methods and Ends
  • 7. Decision Problems
  • II. Some Questions of Group Theory Related to Geometry
  • 1. Equations in Groups and Some Related Questions
  • 2. Splitting Homomorphisms and Some Problems in Topology
  • 3. On the Rate of Growth of Groups and Amenable Groups
  • Author Index

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