On the matrix equation over finite fields.
Acosta-de-Orozco, Maria T., Gomez-Calderon, Javier (1993)
International Journal of Mathematics and Mathematical Sciences
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Acosta-de-Orozco, Maria T., Gomez-Calderon, Javier (1993)
International Journal of Mathematics and Mathematical Sciences
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J. Beard (1974)
Acta Arithmetica
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Elia, Michele (2001)
International Journal of Mathematics and Mathematical Sciences
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Cohen, Stephen D. (1990)
Portugaliae mathematica
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Thomas Laffey (1994)
Banach Center Publications
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In this survey paper, we present (mainly without proof) a number of results on conjugacy and factorization in general linear groups over fields and commutative rings. We also present the additive analogue in matrix rings of some of these results. The first section deals with the question of expressing elements in the commutator subgroup of the general linear group over a field as (simple) commutators. In Section 2, the same kind of problem is discussed for the general linear group over...
H. S. Thurston (1939)
Compositio Mathematica
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Takuya Ikuta, Akihiro Munemasa (2018)
Special Matrices
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We consider nonsymmetric hermitian complex Hadamard matrices belonging to the Bose-Mesner algebra of commutative nonsymmetric association schemes. First, we give a characterization of the eigenmatrix of a commutative nonsymmetric association scheme of class 3 whose Bose-Mesner algebra contains a nonsymmetric hermitian complex Hadamard matrix, and show that such a complex Hadamard matrix is necessarily a Butson-type complex Hadamard matrix whose entries are 4-th roots of unity.We also...
Vladimír Kučera (1974)
Kybernetika
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Thompson, R.C. (1962)
Portugaliae mathematica
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