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Abstract
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International Journal of Mathematics and Mathematical Sciences 
Volume 14 (1991), Issue 3, Pages 475-480
doi:10.1155/S0161171291000650

Groups of homeomorphisms and normal subgroups of the group of permutations

P. T. Ramachandran

Department of Mathematics, Calicut University P.O., Pin 673 635, India

Received 13 February 1989

Abstract

In this paper, it is proved that no nontrivial proper normal subgroup of the group of permutations of a set X can be the group of homeomorphisms of (X,T) for any topology T on X.