Action of the Symmetric Group \(S_7\) on Unordered Pairs

Rotich, Stanley K. (2023) Action of the Symmetric Group \(S_7\) on Unordered Pairs. Journal of Advances in Mathematics and Computer Science, 38 (7). pp. 36-46. ISSN 2456-9968

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Official URL: https://doi.org/10.9734/jamcs/2023/v38i71770

Abstract

n this paper some properties of Symmetric group 7GSon 2Xare investigated. It is shown that Gacts transitively, primitively but not doubly transitively on 2X. The orbits of 1,2Gacting on 2Xand the orbits of Gacting on 22XXare found to be 3. Suborbital graphs corresponding to the action of Gon 22XXare constructed. Some theoretic propertiesof these graphs are discussed.

Item Type:	Article
Subjects:	Open STM Article > Mathematical Science
Depositing User:	Unnamed user with email support@openstmarticle.com
Date Deposited:	22 Apr 2023 05:40
Last Modified:	05 Sep 2024 11:22
URI:	http://asian.openbookpublished.com/id/eprint/593

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