Groups of homeomorphisms and normal subgroups of the group of permutations

P. T. Ramachandran

International Journal of Mathematics and Mathematical Sciences, 1991, vol. 14, 1-6

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 .

Date: 1991
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DOI: 10.1155/S0161171291000650

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