Bünger, FlorianFlorianBüngerNielsen, KlausKlausNielsen2021-02-122021-02-121999-09-01Linear Algebra and Its Applications 1-3 (298): 39-50 (1999-09-01)http://hdl.handle.net/11420/8775Given an arbitrary commutative field K, n ∈ ℕ≥3 and two monic polynomials q and r over K of degree n - 1 and n such that q(0) ≠ 0 ≠ r(0). We prove that any non-scalar invertible n x n matrix M 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.en0024-379519991-33950American Elsevier Publ.Conjugacy classMatrix factorizationProduct of cyclic matricesInformatikMathematikJournal Article10.1016/S0024-3795(99)00138-XOther