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Author(s): Adamu Danbaba , Jelten B. Naphthali, Adamu A. Hamidu.

Volume/Issue: Volume 8 , Issue 1 (2025)

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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