Isomorphy Classes of Finite Order Automorphisms of SL(2, k)
Representation Theory
2015-04-02 v1
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 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 Inn_A and Inn_B. We examine the number of isomorphy classes and conclude with examples for selected fields.
Keywords
Cite
@article{arxiv.1504.00036,
title = {Isomorphy Classes of Finite Order Automorphisms of SL(2, k)},
author = {Robert W. Benim and Mark Hunnell and Amanda K. Sutherland},
journal= {arXiv preprint arXiv:1504.00036},
year = {2015}
}
Comments
13 pages