IJPAM: Volume 106, No. 3 (2016)

THE CYCLIC SUBGROUPS OF THE SYMMETRIC GROUP-I



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
Year: 2016
Volume: 106
Issue: 3
Pages: 851 - 857
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