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Spring Topology and Dyanmical Systems Conference 2010
March 18-20, 2010
Mississippi State University
Starkville, Mississippi, USA

Organizers
Paul Fabel, Wayne Lewis, Frederic Mynard

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Quasi-isometry invariant subgroups
by
Diane Vavrichek
Binghamton University

We will give sufficient conditions for subgroups to be invariant under quasi-isometries. That is, given a quasi-isometry f from G to G', we will show that if H is a subgroup of G that satisfies certain conditions, then f(H) is a finite Hausdorff distance from a subgroup of G'. This generalizes our previous results about infinite cyclic subgroups and their commensurizers.

Date received: February 4, 2010

Copyright © 2010 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cazl-45.