JP Journal of Algebra, Number Theory and Applications
Volume 5, Issue 3, Pages 535 - 545
(December 2005)
|
|
SEMIGROUPS OF MATRICES CLOSED UNDER CONJUGATION BY NORMAL LINEAR GROUPS
Jo㯠Ara?Portugal) and Fernando C. Silva (Portugal)
|
Abstract: 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. |
Keywords and phrases: semigroups, normal groups, matrices. |
|
Number of Downloads: 398 | Number of Views: 1139 |
|