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- W2008779295 abstract "Given an arbitrary commutative field K, n∈N⩾3 and two monic polynomials q and r over K of degree n−1andn such that q(0)≠0≠r(0). We prove that any non-scalar invertible n×nmatrixM can be written as a product of two matrices A and B, where the minimum polynomial of A is divisible by q and B is cyclic with minimum polynomial r. This result yields that the Thompson conjecture is true for PSLn(F3), n∈N⩾3, and PSL2n+1(F2), n∈N. If G is such a group, then G has a conjugacy class Ω such that G=Ω2. In particular each element of G is a commutator." @default.
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- W2008779295 date "1999-09-01" @default.
- W2008779295 modified "2023-10-17" @default.
- W2008779295 title "A matrix-decomposition theorem for GLn(K)" @default.
- W2008779295 doi "https://doi.org/10.1016/s0024-3795(99)00138-x" @default.
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