Equivalence classes of matrices inGL
2
(Q) andSL
2
(Q) |
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| Authors: | M R Darafsheh F Nowroozi Larki |
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| Institution: | 1. Department of mathematics and computer science, Tehran University and Institue for studies in theoretical physics and mathematics, Tehran, Iran
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| Abstract: | LetG denote either of the groupsGL 2 (q) orSL 2 (q). The mapping θ sending a matrix to its transpose-inverse is an automophism ofG and therefore we can form the groupG + =G. <θ>. In this paper conjugacy classes of elements inG + -G are found. These classes are closely related to the congruence classes of invertible matrices inG. |
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| Keywords: | |
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