Graphs of subgroups of free groups

被引：11

作者：

Louder, Larsen ^{[1
]}

McReynolds, D. B. ^{[2
]}

机构：

[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

[2] Univ Chicago, Dept Math, Chicago, IL 60637 USA

来源：

ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2009年 / 9卷 / 01期

关键词：

Folding; Free groups; Hanna Neumann conjecture;

D O I：

10.2140/agt.2009.9.327

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct an efficient model for graphs of finitely generated subgroups of free groups. Using this we give a very short proof of Dicks's reformulation of the strengthened Hanna Neumann Conjecture as the Amalgamated Graph Conjecture. In addition, we answer a question of Culler and Shalen on ranks of intersections in free groups. The latter has also been done independently by R P Kent IV.

引用

收藏

页码：327 / 335

页数：9

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