Use this URL to cite or link to this record in EThOS: http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.649344
Title: Overgroups of a linear Singer cycle in classical groups
Author: Brookfield, Tom
ISNI:       0000 0004 5354 604X
Awarding Body: University of Birmingham
Current Institution: University of Birmingham
Date of Award: 2015
Availability of Full Text:
Access from EThOS:
Access from Institution:
Abstract:
There are well known embeddings of GL_n (q) in Sp_2_n (q) and GO+_2_n (q), as well as an embedding of GL_n (q^2) in GU_2_n (q). These give embeddings of Singer cycles of GL_n (q) and GL_n (q^2) in the corresponding classical group, which we call linear Singer cycles. In this thesis, we classify the overgroups of such a Singer cycle in these groups.
Supervisor: Not available Sponsor: Engineering and Physical Sciences Research Council (EPSRC)
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.649344  DOI: Not available
Keywords: QA Mathematics
Share: