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Graphs of subgroups of free groups
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Louder, L. and McReynolds, D B (2009) Graphs of subgroups of free groups. Algebraic & Geometric Topology, Vol. 9 (No. 1). pp. 327-335. doi:10.2140/agt.2009.9.327 ISSN 1472-2747.
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Official URL: http://dx.doi.org/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.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Algebraic & Geometric Topology | ||||
Publisher: | Mathematical Science Publishers | ||||
ISSN: | 1472-2747 | ||||
Official Date: | 2009 | ||||
Dates: |
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Volume: | Vol. 9 | ||||
Number: | No. 1 | ||||
Page Range: | pp. 327-335 | ||||
DOI: | 10.2140/agt.2009.9.327 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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