Intransitive geometries and fused amalgams
Group Theory
2016-07-18 v1 Combinatorics
Abstract
We study geometries that arise from the natural action on the geometry of one-dimensional subspaces, of nonsingular two-dimensional subspaces, and of nonsingular three-dimensional subspaces of the building geometry of type where is a perfect field of characteristic 2. One of these geometries is intransitive in such a way that the non-standard geometric covering theory by the first and the last author is not applicable. In this paper we introduce the concept of fused amalgams in order to extend the geometric covering theory so that it applies to that geometry. This yields an interesting new amalgamation result for the group .
Cite
@article{arxiv.0708.3515,
title = {Intransitive geometries and fused amalgams},
author = {Ralf Köhl and Max Horn and Antonio Pasini and Hendrik Van Maldeghem},
journal= {arXiv preprint arXiv:0708.3515},
year = {2016}
}