Location of Repository

Double coset decompositions of groups

By Graham A. Niblo


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
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://dx.doi.org/10.1006/jabr... (external link)
  • Suggested articles

    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.