Construction of Finite 2-Transitive Groups Based on the Concept of Near Field.

Publication Date: 18/10/2024

DOI: 10.52589/AJMSS-HSL2VU8B


Author(s): Adamu Danbaba , Jelten B Naphthali, Momoh U. Sunday.

Volume/Issue: Volume 7 , Issue 4 (2024)



Abstract:

Transitive groups were studied basically based on the idea of near field. The article mainly considered Dickson near field to construct groups which are 2-transitive..To achieve the result some restrictions were observed in relation to the near field. The research went through the constructions with the help of the classification scheme for finite primitive groups proposing that the subgroup is the stabilizer of the group. The idea of this constructions has relevance in coding theory.


Keywords:

Transitive, p-groups, primitive, abelian, affine, field.


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