University of Jiroft | hamidreza dorbidi

Research

Title	Some results on the action of the automorphism group of a finite topological space
Type	Presentation
Keywords	Finite topological space, Automorphism group, Transitive action, Primitive action.
Researchers	hamidreza dorbidi

Abstract

Let X be a finite topological space. In this paper, we show that if the action of Aut(X) is transitive and X is a connected space then X has the trivial topology. Also if the action of Aut(X) is primitive then X has the trivial topology or discrete topology.