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Spring Topology and Dynamical Systems Conference 2008
March 13-15, 2008
University of Wisconsin Milwaukee and Marquette University
Milwaukee, WI, USA

Organizers
Ric Ancel, Karen Brucks, Craig Guilbault, Chris Hruska, Suzanne Hruska, Boris Okun (UWM); Paul Bankston (Marquette); Lois Kailhofer (Alverno College).

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No maximal cofinitary group is Ks
by
Bart Kastermans
University of Wisconsin -- Madison

A cofinitary group is a subgroup of the symmetric group on the natural numbers all of whose elements other than the identity have finitely many fixed points. Maximality is taken w.r.t. inclusion. By generalizing a result on the orbit structure of these groups we show the title result. We will also motivate this result.

Date received: February 18, 2008

Copyright © 2008 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 # cawk-49.