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Catalogue Information
Field name	Details
Dewey Class	512.2
Title	Essays in Group Theory ([EBook] /) / edited by S. M. Gersten.
Added Personal Name	Gersten, S. M. editor.
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : : Springer New York, , 1987.
Physical Details	VII, 342 p. : online resource.
Series	Mathematical Sciences Research Institute publications 0940-4740 ; ; 8
ISBN	9781461395867
Summary Note	Essays in Group Theory contains five papers on topics of current interest which were presented in a seminar at MSRI, Berkeley in June, 1985. Special mention should be given to Gromov`s paper, one of the most significant in the field in the last decade. It develops the theory of hyperbolic groups to include a version of small cancellation theory sufficiently powerful to recover deep results of Ol'shanskii and Rips. Each of the remaining papers, by Baumslag and Shalen, Gersten, Shalen, and Stallings contains gems. For example, the reader will delight in Stallings' explicit construction of free actions of orientable surface groups on R-trees. Gersten's paper lays the foundations for a theory of equations over groups and contains a very quick solution to conjugacy problem for a class of hyperbolic groups. Shalen's article reviews the rapidly expanding theory of group actions on R-trees and the Baumslag-Shalen article uses modular representation theory to establish properties of presentations whose relators are pth-powers.:
Contents note	Affine Algebraic Sets and Some Infinite Finitely Presented Groups -- Reducible Diagrams and Equations Over Groups -- Hyperbolic Groups -- Dendrology of Groups: An Introduction -- Adian Groups and Pregroups.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4613-9586-7
Links to Related Works	Subject References: Group theory . Group Theory and Generalizations . Mathematics . Authors: Gersten, S. M. . Corporate Authors: SpringerLink (Online service) . Series: Mathematical Sciences Research Institute publications . Classification: 512.2 .

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Essays in Group Theory

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