IJPAM: Volume 106, No. 3 (2016)
THE CYCLIC SUBGROUPS OF THE SYMMETRIC GROUP-I
Department of Mathematics
University of Calicut
Malappuram Dt., Pin: 673635, Kerala, INDIA
Abstract. In this paper we investigate the group of homeomorphisms of topological spaces. A subgroup of the group of all permutations of a set is called -representable on if there exists a topology on such that the group of homeomorphisms of . We determine the -representability of groups generated by a permutation which is a product of disjoint cycles having equal lengths.
Received: October 28, 2015
AMS Subject Classification: 54H15, 20B35
Key Words and Phrases: cyclic groups, group of homeomorphisms, permutation groups, t-representable
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DOI: 10.12732/ijpam.v106i3.11 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 851 - 857
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