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Free actions of virtually FC-groups
Authors:Martin R. Pettet
Affiliation:(1) Department of Mathematics, University of Toledo, Toledo, Ohio 43606, USA
Abstract:If an infinite group G admits a free action by a group of automorphisms A which is virtually an FC-group and which has only finitely many orbits, then G is isomorphic to the additive group of a field and the action is that of a group of semilinear transformations. Received: 21 February 2005
Keywords:Primary 20F28  Secondary 20B22  12K05
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