Geodesic
One-ended subgroups of graphs of free groups with cyclic edge groups
Wilton, Henry1
1 Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, UK
Geometry & topology, Tome 16 (2012) no. 2, pp. 665-683.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

Consider a one-ended word-hyperbolic group. If it is the fundamental group of a graph of free groups with cyclic edge groups then either it is the fundamental group of a surface or it contains a finitely generated one-ended subgroup of infinite index. As a corollary, the same holds for limit groups. We also obtain a characterisation of surfaces with boundary among free groups equipped with peripheral structures.

DOI : 10.2140/gt.2012.16.665
Classification : 20F65, 20F67, 57M07
Keywords: free group, hyperbolic group, surface subgroup

Wilton, Henry 1

1 Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, UK 
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Wilton, Henry. One-ended subgroups of graphs of free groups with cyclic edge groups. Geometry & topology, Tome 16 (2012) no. 2, pp. 665-683. doi : 10.2140/gt.2012.16.665. http://geodesic.mathdoc.fr/articles/10.2140/gt.2012.16.665/

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