SEMIGROUPS OF MATRICES CLOSED UNDER CONJUGATION BY NORMAL LINEAR GROUPS
Let X be a finite set, T(X) be the monoid of all transformations on X and Sym(X) be the symmetric group on X. Recently Levi, McAlister and McFadden proved that if |X| > 4, G is a normal subgroup of Sym(X) and a μ/span> T(X)Sym(X), then
The aim of this paper is to prove a linear analogue of this result.
semigroups, normal groups, matrices.
