Congruence classes of matrices in GL2(Fq
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Priscilla S. Bremser
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Article
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1993
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Elsevier Science
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English
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Given two matrices A and B in GL, ( F,), where q is a power of a prime and Fq is the finite field with q elements, we say that A and B are congruent if there is a matrix C in GL2( F,) such that A = CTBC. We show that there are q + 3 congruence classes in GL,(F,) for odd q and q + 1 classes for even