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Double coset decompositions of groups

By Graham A. Niblo

Abstract

We show that residually finite or word hyperbolic groups which can be decomposed as a finite union of double cosets of a cyclic subgroup are necessarily virtually cyclic, and apply this result to the study of Frobenius permutation groups. We show that in general finite double coset decompositions of a group can be interpreted as an obstruction to splitting a group as a free product with amalgamation or an HNN extension

Topics: QA
Year: 1999
OAI identifier: oai:eprints.soton.ac.uk:29815
Provided by: e-Prints Soton
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