Coxeter groups are biautomatic

• 成果类型: Article
• 署名作者: Osajda, Damian; Przytycki, Piotr
• 署名单位: University of Wroclaw; Polish Academy of Sciences; Institute of Mathematics of the Polish Academy of Sciences; McGill University
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-025-01365-6
• 发表日期: 2025
• 页码: 627-637
• 关键词: small cancellation theory; SUBGROUPS

摘要

We prove that Coxeter groups are biautomatic. From our construction of the biautomatic structure it follows that uniform lattices in isometry groups of buildings are biautomatic.