Commutators of Matrices with Prescribed Determinant
1968 ◽
Vol 20
◽
pp. 203-221
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Keyword(s):
Let K be a commutative field, let GL(n, K) be the multiplicative group of all non-singular n × n matrices with elements from K, and let SL(n, K) be the subgroup of GL(n, K) consisting of all matrices in GL(n, K) with determinant one. We denote the determinant of matrix A by |A|, the identity matrix by In, the companion matrix of polynomial p(λ) by C(p(λ)), and the transpose of A by AT. The multiplicative group of nonzero elements in K is denoted by K*. We let GF(pn) denote the finite field having pn elements.
1977 ◽
Vol 29
(1)
◽
pp. 169-179
◽
Keyword(s):
2018 ◽
Vol 12
(2)
◽
pp. 101-118
◽
2014 ◽
Vol 90
(3)
◽
pp. 376-390
◽
2015 ◽
Vol 14
(06)
◽
pp. 1550088
◽
Keyword(s):
1975 ◽
Vol 78
(4)
◽
pp. 285-289
◽
Keyword(s):
1980 ◽
Vol 22
(3)
◽
pp. 339-364
◽
2003 ◽
Vol 111
(2)
◽
pp. 187-194
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