Overgroups of a linear Singer cycle in classical groups

[摘要] 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.

[发布机构] University:University of Birmingham;Department:School of Mathematics

[关键词] Q Science;QA Mathematics