Construction of Finite 2-Transitive Groups Based on the Concept of Near Field
Year: 2024
Type: article
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.
Authors: Danbaba, A., Jelten, B. N., Momoh, S. U.
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4403547866