Subgroups of Classical Groups that are Transitive on Subspaces
Group Theory
2020-12-15 v1 Combinatorics
Abstract
For each finite classical group , we classify the subgroups of which act transitively on a -invariant set of subspaces of the natural module, where the subspaces are either totally isotropic or nondegenerate. Our proof uses the classification of the maximal factorisations of almost simple groups. As a first application of these results we classify all point-transitive subgroups of automorphisms of finite thick generalised quadrangles.
Cite
@article{arxiv.2012.07213,
title = {Subgroups of Classical Groups that are Transitive on Subspaces},
author = {Michael Giudici and S. P. Glasby and Cheryl E. Praeger},
journal= {arXiv preprint arXiv:2012.07213},
year = {2020}
}
Comments
62 pages, 34 tables