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

Adamu Danbaba; Jelten B. Naphtali; Momoh U. Sunday

doi:10.52589/AJMSS-HSL2VU8B

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

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African Journal of Mathematics and Statistics Studies

Vol. 7Issue 42024pp. 82–86Published 18 October 2024

DOI 10.52589/AJMSS-HSL2VU8B

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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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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.