Subgroups of direct products of limit groups

• 成果类型: Article
• 署名作者: Bridson, Martin R.; Howie, James; Miller, Charles F., III; Short, Hamish
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2009.170.1447
• 发表日期: 2009
• 页码: 1447-1467
• 关键词: irreducible affine varieties; diophantine geometry; ELEMENTARY THEORY

摘要

If Gamma(1), ... , Gamma(n) are limit groups and S subset of Gamma(1) x ... x Gamma(n) is of type FPn (Q) then S contains a subgroup of finite index that is itself a direct product of at most n limit groups. This answers a question of Sela.