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.
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页码：327 / 335
页数：9
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