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2009 Graphs of subgroups of free groups
Larsen Louder, D B McReynolds
Algebr. Geom. Topol. 9(1): 327-335 (2009). DOI: 10.2140/agt.2009.9.327

Abstract

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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Larsen Louder. D B McReynolds. "Graphs of subgroups of free groups." Algebr. Geom. Topol. 9 (1) 327 - 335, 2009. https://doi.org/10.2140/agt.2009.9.327

Information

Received: 27 August 2008; Revised: 25 January 2009; Accepted: 28 January 2009; Published: 2009
First available in Project Euclid: 20 December 2017

zbMATH: 1185.20026
MathSciNet: MR2482080
Digital Object Identifier: 10.2140/agt.2009.9.327

Subjects:
Primary: 20E05

Rights: Copyright © 2009 Mathematical Sciences Publishers

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