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Algebra VII: Combinatorial Group Theory. Applications to Geometry (Encyclopaedia of Mathematical Sciences)

Algebra VII: Combinatorial Group Theory. Applications to Geometry (Encyclopaedia of Mathematical Sciences)
By D.J. Collins, R.I. Grigorchuk, P.F. Kurchanov, H. Zieschang, A.N. Parshin, I.R. Shafarevich, P.M. Cohn

Publisher: Springer
Number Of Pages: 240
Publication Date: 1993-09-10
ISBN-10 / ASIN: 3540547002
ISBN-13 / EAN: 9783540547006
Binding: Hardcover

This volume of the EMS consists of two parts. The first entitled Combinatorial Group Theory and Fundamental Groups, written by Collins and Zieschang, provides a readable and comprehensive description of that part of group theory which has its roots in topology in the theory of the fundamental group and the theory of discrete groups of transformations. Throughout the emphasis is on the rich interplay between the algebra and the topology and geometry. The second part by Grigorchuk and Kurchanov is a survey of recent work on groups relating to topological manifolds, dealing with equations in groups, particularly in surface groups and free groups, a study in terms of groups of Heegaard decompositions and algorithmic aspects of the Poincar

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Tagged as: Algebra, Combinatorial Group Theory, Geometry, Mathematical Sciences