Finiteness properties of arithmetic groups over function fields

• 成果类型: Article
• 署名作者: Bux, Kai-Uwe; Wortman, Kevin
• 署名单位: University of Virginia; Yale University
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-006-0017-y
• 发表日期: 2007
• 页码: 355-378
• 关键词: presentability; generation; lattices

摘要

We determine when an arithmetic subgroup of a reductive group defined over a global function field is of type FP infinity by comparing its largescale geometry to the large-scale geometry of lattices in real semisimple Lie groups.