直角 Artin 群的自同构群与外自同构群均非相对双曲
群论
2024-03-20 v4 几何拓扑
摘要
我们证明了定义图至少有 3 个顶点的直角 Artin 群的自同构群不是相对双曲的。进而我们证明,若其外自同构群不 virtually 同构于定义图为单顶点或不连通的直角 Artin 群,则它们也不是相对双曲的。
关键词
引用
@article{arxiv.2104.14760,
title = {Automorphism and outer automorphism groups of Right-angled Artin groups are not relatively hyperbolic},
author = {Junseok Kim and Sangrok Oh and Philippe Tranchida},
journal= {arXiv preprint arXiv:2104.14760},
year = {2024}
}
备注
We correct the theorem of relative hyperbolicity of outer automorphism groups of right-angled Artin groups. The corrigendum will appear in Bulletin of the Australian Mathematical Society