墙连通双 buildings 的等距映射
群论
2023-04-03 v1
摘要
我们引入墙连通双 buildings 的概念,并证明局部到整体原理对这些双 buildings 成立。由于每个满足 Condition (co)(在 [7] 中引入)的双 buildings 都是墙连通的,我们获得了 [7] 主要结果的加强版,其也覆盖了秩至少为 3 的厚不可约仿射双 buildings。
引用
@article{arxiv.2303.18041,
title = {Isometries of wall-connected twin buildings},
author = {Sebastian Bischof and Bernhard Mühlherr},
journal= {arXiv preprint arXiv:2303.18041},
year = {2023}
}
备注
20 pages, preliminary version, to appear in "Advances in Geometry"