Graphs of subgroups of free groups

Details Graphs of subgroups of free groups Graphs of subgroups of free groups

2009-01-25

arxiv.org/abs/0901.3774v1

Algebr. and Geom. Topol. 9 (2009), 327-335.

Mathematics

Group Theory

To appear in Algebr. and Geom. Topol

Scientific paper

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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