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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
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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 | ||||
|---|---|---|---|---|---|
| Divisions: | Faculty of 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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