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

Transitive permutation groups were studied basically based on the idea of a 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 field. The research went through the construction with the help of the classification scheme for the finite primitive group proposing that the subgroup of the group is the stabilizer of the group. The idea of this construction has relevance in coding theory.

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Publication Details

Journal
African Journal of Mathematics and Statistics Studies
Published
2024-10-18
DOI
https://doi.org/10.52589/ajmss-hsl2vu8b
Primary Topic
Educational Reforms and Innovations
Type
article
Field-Weighted Citation Impact
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article

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

B. N. Jelten, A. Danbaba, U. S. Momoh
African Journal of Mathematics and Statistics Studies
Educational Reforms and Innovations
article

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

B. N. Jelten, A. Danbaba, U. S. Momoh
article en

Abstract

Transitive permutation groups were studied basically based on the idea of a 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 field. The research went through the construction with the help of the classification scheme for the finite primitive group proposing that the subgroup of the group is the stabilizer of the group. The idea of this construction has relevance in coding theory.

African Journal of Mathematics and Statistics StudiesVol. 7(4)
Openalex Percentile: Top 75%
Educational Reforms and Innovations
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Construction of Finite 2-Transitive Groups Based on the Concept of Near Field — B. N. Jelten, A. Danbaba, et al. · African Journal of Mathematics and Statistics Studies (2024) | TGRS Research Map | TGRS