Abstract
In this paper we investigate the group of homeomorphisms of topological spaces. A subgroup K of the group S(X) of all permutations of a set X is called t-representable on X if there exists a topology T on X such that the group of homeomorphisms of (X, T ) = K. We determine the t-representability of groups generated by a permutation which is a product of disjoint cycles having equal lengths. AMS Subject Classification: 54H15, 20B35
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