Action of PGL(2,q) on the Cosets of the Centralizer of an Eliptic Element

Kimani, Patrick Mwangi and Adicka, Daniel (2021) Action of PGL(2,q) on the Cosets of the Centralizer of an Eliptic Element. Journal of Advances in Mathematics and Computer Science, 36 (7). pp. 11-20. ISSN 2456-9968

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Official URL: https://doi.org/10.9734/jamcs/2021/v36i730379

Abstract

Most researchers consider the action of projective general group on the cosets of its maximal subgroups leaving out non-maximal subgroups. In this paper, we consider the action of 114.PNGcentralizer of an elliptic element which is a non maximal subgroup 212.PNG. In particular, we determine the subdegrees, rank and properties of the suborbital graphs of the action. We achieve this through the application of the action of a group by conjugation. We have proved that the rank is q and the subdegrees are 33.PNG and 43.PNG.

Item Type:	Article
Subjects:	Institute Archives > Mathematical Science
Depositing User:	Managing Editor
Date Deposited:	21 Apr 2023 04:39
Last Modified:	05 Feb 2024 04:20
URI:	http://eprint.subtopublish.com/id/eprint/1814

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