Action of PGL(2,q) on the Cosets of the Centralizer of an Eliptic Element
| dc.contributor.author | Kimani, Patrick Mwangi | |
| dc.contributor.author | Adicka, Daniel | |
| dc.date.accessioned | 2022-10-27T06:58:22Z | |
| dc.date.available | 2022-10-27T06:58:22Z | |
| dc.date.issued | 2021-08-19 | |
| dc.description.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 PGL(2,q) centralizer of an elliptic element which is a non maximal subgroup c(q+1). 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 [1][2] and [q+ 1][q-2]. | en_US |
| dc.identifier.issn | 24569968 | |
| dc.identifier.uri | http://repository.embuni.ac.ke/handle/123456789/4160 | |
| dc.language.iso | en | en_US |
| dc.publisher | Uoem | en_US |
| dc.subject | Rank | en_US |
| dc.subject | subdegrees | en_US |
| dc.subject | centralizer | en_US |
| dc.subject | suborbital graphs. | en_US |
| dc.title | Action of PGL(2,q) on the Cosets of the Centralizer of an Eliptic Element | en_US |
| dc.type | Article | en_US |
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