直角建筑的自同构群：单性与局部分裂
群论
2014-05-15 v2
摘要
我们证明了任何不可约半正则厚直角建筑的类型保持自同构群是抽象单的。当建筑是局部有限时，这给出了一个大的紧生成（抽象）单局部紧群族。通过特化到适当情形，我们得到了这样的单群的例子，它们是局部不可分解的，但具有非平凡分解为直积的局部正规子群。
引用
@article{arxiv.1210.7549,
title = {Automorphism groups of right-angled buildings: simplicity and local splittings},
author = {Pierre-Emmanuel Caprace},
journal= {arXiv preprint arXiv:1210.7549},
year = {2014}
}
备注
26 pages. Several points were clarified and a few lemmas were added, in accordance with the referee's report