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Graphs of subgroups of free groups
Larsen Louder and D B McReynolds
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Algebraic & Geometric Topology 9
(2009) 327–335
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Abstract
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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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Keywords
folding, free groups, Hanna Neumann
conjecture
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Mathematical Subject Classification
Primary: 20E05
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Publication
Received: 27 August 2008
Revised: 25 January 2009
Accepted: 28 January 2009
Published: 23 February 2009
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