Browsing by Author "Silva, Fernando C."
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- Semigroups of matrices closed under conjugation by normal linear groupsPublication . Silva, Fernando C.; Araújo, JoãoLet X be a finite set, T(X) be the monoid of all transformations on X and Sym(X) be the symmetric group on X. Recentely Levi, McAl- ister and McFadden proved that if |X| > 4, G is a normal subgroup of Sym(X) and a ∈ T(X) \ Sym(X), then ⟨g−1ag : g ∈ G⟩ = ⟨{a} ∪ G⟩ \ G. The aim of this paper is to prove a linear analogous of this result.