A Quasi Curtis-Tits-Phan theorem for the symplectic group
Group Theory
2008-05-20 v1 Combinatorics
Abstract
We obtain the symplectic group as the universal completion of an amalgam of low rank subgroups akin to Levi components. We let act flag-transitively on the geometry of maximal rank subspaces of . We show that this geometry and its rank residues are simply connected with few exceptions. The main exceptional residue is described in some detail. The amalgamation result is then obtained by applying Tits' lemma. This provides a new way of recognizing the symplectic groups from a small collection of small subgroups.
Keywords
Cite
@article{arxiv.0805.2680,
title = {A Quasi Curtis-Tits-Phan theorem for the symplectic group},
author = {Rieuwert J. Blok Corneliu Hoffman},
journal= {arXiv preprint arXiv:0805.2680},
year = {2008}
}