Products of cyclic conjugacy classes in the groups \(\text{PSL}(n,F)\)
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Publication:1208300
DOI10.1016/0024-3795(93)90321-EzbMath0803.20027MaRDI QIDQ1208300
Publication date: 16 May 1993
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
algebraically closed fieldmatrix factorizationscyclic matrices\(\text{GL}(n,F)\)\(\text{PSL}(n,F)\)\(\text{SL}(n,F)\)products of cyclic conjugacy classes
Factorization of matrices (15A23) Linear algebraic groups over arbitrary fields (20G15) Algebraic systems of matrices (15A30)
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Products of cyclic similarity classes in the groups \(\text{GL}_n(F)\), Powers of 1-cyclic conjugacy classes in the groups GL\(_ n(F)\) and SL\(_ n(F)\), The extended covering number of \(\text{SL}_n\) is \(n+1\)., Products of conjugacy classes of two by two matrices, Products of similar matrices, On products of conjugacy classes in general linear groups, Elementary covering numbers in odd-dimensional unitary groups, The Waring problem for Lie groups and Chevalley groups, Covering numbers for simple algebraic groups, Products of three word maps on simple algebraic groups, Gauss decomposition with prescribed semisimple part in chevalley groups iii: Finite twisted groups, Products of Conjugacy Classes in the Special Linear Groups, Geometry of word equations in simple algebraic groups over special fields, A generalization of Sourour's theorem, Covering the grouppsln{F) by the square of a conjugacy class
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