TY: JOUR
T1 - Semigroups of matrices closed under conjugation by normal linear groups
A1 - Silva, Fernando C.
A1 - Araśjo, Joćo
N2 - 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. 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.
UR - https://repositorioaberto.uab.pt/handle/10400.2/2023
Y1 - 2004
PB - Pushpa Publishing House