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Ubiquity of free subgroups
by
Paul Gartside
Oxford University
We give necessary and sufficient conditions for a Polish group to be `almost' free. It is deduced that the existence of a single free subgroup can lead to the existence of many free subgroups of maximal rank. Applications are given to permutation groups, Galois groups, Lie groups and unitary groups.
Date received: March 14, 1997
Copyright © 1997 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 # caam-59.