Action of PGL(2,q) on the Cosets of the Centralizer of an Eliptic Element
Patrick Mwangi Kimani, Daniel Adicka
Journal of Advances in Mathematics and Computer Science · pp. 11–20 · Published 19 Aug 2021
10.9734/jamcs/2021/v36i730379Abstract
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 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 q and the subdegrees are and .
Cited by 0
No indexed citations yet.
Related research
- Demographic Determinants of Job Satisfaction among Non-Academic Senior Staff of University of Cape Coast, Ghana — shares topic coverage
- Rank of the Subsemigroup of the Semigroup of Finite Full Contraction Maps Generated by Elements of Defect One — shares topic coverage
- Factors Influencing the Emotional Intelligence of Post-graduating Agricultural Students — shares topic coverage
- A Study on Constraint Analysis of Rice Cultivation in Korba District of Chhattisgarh, India — shares topic coverage
- On the Centralizer of a Rhotrix in R3(R), R a GCD Domain — shares topic coverage
Article metrics
Real usage data collected on this platform.
27
Page views
0
PDF downloads
3
Outbound clicks
0
Citations
Views over time
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
Traffic sources
Referring site, by host.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.