本原旗传递的广义六边形与八边形
组合数学
2008-03-14 v2 群论
摘要
假设自同构群 在有限广义六边形或八边形 上旗传递地作用，并且假设该作用在点集和线集上都是本原的。我们证明了 是 Lie 型的几乎单群，即 的基柱是一个单 Chevalley 群。
引用
@article{arxiv.0704.2845,
title = {Primitive flag-transitive generalized hexagons and octagons},
author = {Csaba Schneider and Hendrik Van Maldeghem},
journal= {arXiv preprint arXiv:0704.2845},
year = {2008}
}
评论
forgot to upload the appendices in version 1, and this is rectified in version 2. erased cross-ref keys in version 3. Minor revision in version 4 to implement the suggestion by the referee (new section at the end, extended acknowledgment, simpler proof for Lemma 4.2)