Free actions of virtually FC-groups |
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Authors: | Martin R. Pettet |
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Affiliation: | (1) Department of Mathematics, University of Toledo, Toledo, Ohio 43606, USA |
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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 |
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Keywords: | Primary 20F28 Secondary 20B22 12K05 |
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