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Congruence of (2×2) matrices

✍ Scribed by G.D. Williams


Book ID
108315514
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
58 KB
Volume
224
Category
Article
ISSN
0012-365X

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Congruence classes of matrices in GL2(Fq
✍ Priscilla S. Bremser 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 315 KB

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