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|Paper IPM / M / 63||
Let G denote either of the groups GL2(q) or SL2(q). The mapping θ sending a matrix to its transpose-inverse is an
automophism of G and therefore we can form the group G+=G. < θ > . In this paper conjugacy classes of elements in G+−G are found. These classes are closely related to the congruence classes of invertible matrices in G.
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