ON THE INTERSECTION OF SUBGROUPS OF A FREE GROUP

• 成果类型: Article
• 署名作者: TARDOS, G
• 署名单位: HUN-REN; HUN-REN Alfred Renyi Institute of Mathematics; Hungarian Academy of Sciences
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/BF02100597
• 发表日期: 1992
• 页码: 29-36
• 关键词: finitely generated subgroups

摘要

The Hanna Neumann Conjecture says that the intersection of subgroups of rank n + 1 and m + 1 of a free group has rank at most nm + 1. This paper proves the conjecture for the case m = 1. (See Theorem 1.) Our methods imply that the strengthened Hanna Neumann Conjecture is also true in this case (Theorem 2').