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International Conference on Non-Positive Curvature in Group Theory, Topology, and Geometry
May 28-31, 1998
Vanderbilt University
Nashville, TN, USA

Organizers
B. Hughes, M. Mihalik, E. Prassidis, J. Ratcliffe, K. Ruane, M. Sapir, E. Schechter

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Criteria for Finite Centralizers
by
Debra L. Boutin
Cornell University

Culler showed that a finite subgroup of Aut(Fn) (or Out(Fn)) can be realized by its action on a finite graph. Krsti\'c exploited this representation to show that centralizers of such subgroups are finitely presented. In this setting, I will provide criteria for these centralizers to be themselves finite. These criteria can also be used to address the equivalent question, recently answered by Pettet, of when the outer automorphism group of a free by finite group is finite.

Date received: March 10, 1998

Copyright © 1998 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 Mathematical Conference Abstracts. Document # cabb-05.