Isomorphy classes of finite order automorphisms of SL(2,k) |
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| Authors: | Robert W Benim Mark Hunnell Amanda K Sutherland |
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| Institution: | 1. Department of Mathematics, University of Georgia, Athens, Georgia, USArobert.benim@uga.edu;3. Department of Mathematics, Winston-Salem State University, Winston-Salem, North Carolina, USA;4. Department of Mathematical Sciences, Shenandoah University, Winchester, Virginia, USA |
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| Abstract: | In this paper, we consider the order m k-automorphisms of SL(2,k). We first characterize the forms that order m k-automorphisms of SL(2,k) take and then we find simple conditions on matrices A and B, involving eigenvalues and the field that the entries of A and B lie in, that are equivalent to isomorphy between the order m k-automorphisms InnA and InnB. We examine the number of isomorphy classes and conclude with examples for selected fields. |
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| Keywords: | Automorphism special linear group symmetric k-varieties |
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