Degree of Homogeneity of Finite Transitive Extension Permutation Groups with Emphasis on Socle.

Adamu Danbaba; Jelten B. Naphthali; Adamu A. Hamidu

doi:10.52589/AJMSS-9G6JCYX3

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Degree of Homogeneity of Finite Transitive Extension Permutation Groups with Emphasis on Socle.

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African Journal of Mathematics and Statistics Studies

Vol. 8Issue 12025pp. 1–10Published 7 January 2025

DOI 10.52589/AJMSS-9G6JCYX3

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Abstract:

Finite transitive groups could be extended through points, lines or block as such geometric constructions were motivated through the concept of the Steiner system. The transitive extension of finite groups indicated the degree of homogeneity either by the partitioning of the groups or observing the orbits. We employed a different approach to the previous work carried out.

Keywords:Transitive extension degree of homogeneity socle of a permutation group.

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Copyrights

Authors retain copyright in their articles and have unrestricted rights to reuse, republish, archive, share, and distribute their work after publication.
All articles are published open access under the Creative Commons Attribution 4.0 International (CC BY 4.0) licence, which permits use, sharing, adaptation, distribution, and reproduction in any medium or format, including for commercial purposes, provided appropriate credit is given to the original author(s) and source.