Free actions of virtually FC-groups |
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| Authors: | Martin R Pettet |
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| Institution: | (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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