dc.contributor.author |
Kimani, patrick |
|
dc.contributor.author |
Adicka, Daniel |
|
dc.date.accessioned |
2024-06-06T08:39:39Z |
|
dc.date.available |
2024-06-06T08:39:39Z |
|
dc.date.issued |
2021 |
|
dc.identifier.issn |
ISSN: 2456-9968 |
|
dc.identifier.uri |
http://repository.embuni.ac.ke/handle/embuni/4343 |
|
dc.description |
Article |
en_US |
dc.description.abstract |
Most researchers consider the action of projective general group on the cosets of its maximal subgroups
leaving out non-maximal subgroupsCq+1. In this paper, we consider the action ofPGL
(2, ) centralizer of an
elliptic element which is a non maximal subgroup
. 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 and the subdegrees are [1][ ] and [ + 1][ ] . |
en_US |
dc.language.iso |
en |
en_US |
dc.publisher |
UoEm |
en_US |
dc.relation.ispartofseries |
36(7): 11-20;Article no.JAMCS.67384 |
|
dc.subject |
Rank |
en_US |
dc.subject |
subdegrees |
en_US |
dc.subject |
centralizer |
en_US |
dc.subject |
suborbital graphs |
en_US |
dc.title |
Action ofPGL (2 ,q ) on the Cosets of the Centralizer of an Eliptic Element |
en_US |
dc.type |
Article |
en_US |