Add to ORKGAbstract. Gromov asked whether every one-ended word-hyperbolic group contains a hyperbolic surface group. We prove that every one-ended double of a free group has a hyperbolic surface subgroup if (1) the free group has rank two, or (2) every generator is used the same number of times in the amalgamating words. To prove this, we formulate a stronger statement on Whitehead graphs and prove its specialization by combinatorial induction for (1) and the characterization of perfect matching polytopes by Edmonds for (2). 1
We find conditions under which the fundamental groups of the graphs of surface groups are hyperbolic...
We give several sufficient conditions for a double of a free group along a cyclic subgroup to contai...
The Surface Group Conjectures are statements about recognising surface groups among one-relator grou...
Abstract. Gromov asked whether every one-ended word-hyperbolic group contains a hyperbolic surface g...
Hyperbolic surface subgroups of one-ended doubles of free groups Sang-hyun Kim and Sang-il Oum Gromo...
Hyperbolic surface subgroups of one-ended doubles of free groups Sang-hyun Kim and Sang-il Oum Gromo...
Abstract. Gromov asked whether every one-ended word-hyperbolic group contains a hyperbolic surface g...
[2000] Primary 20F36, 20F65 hyperbolic group, surface group Abstract. A longstanding question of Gro...
A well known question of Gromov asks whether every one-ended hyperbolic group $\Gamma$ has a surface...
A longstanding question of Gromov asks whether every one-ended word-hyperbolic group contains a subg...
A longstanding question of Gromov asks whether every one-ended word-hyperbolic group contains a subg...
Let G be a word-hyperbolic group, obtained as a graph of free groups amalgamated along cyclic subgro...
Abstract. We show that certain classes of graphs of free groups contain sur-face subgroups, includin...
AbstractWe prove that any Coxeter group that is not virtually free contains a surface group. In part...
A conjecture of Gromov states that a one-ended word-hyperbolic group must contain a subgroup tha...
We find conditions under which the fundamental groups of the graphs of surface groups are hyperbolic...
We give several sufficient conditions for a double of a free group along a cyclic subgroup to contai...
The Surface Group Conjectures are statements about recognising surface groups among one-relator grou...
Abstract. Gromov asked whether every one-ended word-hyperbolic group contains a hyperbolic surface g...
Hyperbolic surface subgroups of one-ended doubles of free groups Sang-hyun Kim and Sang-il Oum Gromo...
Hyperbolic surface subgroups of one-ended doubles of free groups Sang-hyun Kim and Sang-il Oum Gromo...
Abstract. Gromov asked whether every one-ended word-hyperbolic group contains a hyperbolic surface g...
[2000] Primary 20F36, 20F65 hyperbolic group, surface group Abstract. A longstanding question of Gro...
A well known question of Gromov asks whether every one-ended hyperbolic group $\Gamma$ has a surface...
A longstanding question of Gromov asks whether every one-ended word-hyperbolic group contains a subg...
A longstanding question of Gromov asks whether every one-ended word-hyperbolic group contains a subg...
Let G be a word-hyperbolic group, obtained as a graph of free groups amalgamated along cyclic subgro...
Abstract. We show that certain classes of graphs of free groups contain sur-face subgroups, includin...
AbstractWe prove that any Coxeter group that is not virtually free contains a surface group. In part...
A conjecture of Gromov states that a one-ended word-hyperbolic group must contain a subgroup tha...
We find conditions under which the fundamental groups of the graphs of surface groups are hyperbolic...
We give several sufficient conditions for a double of a free group along a cyclic subgroup to contai...
The Surface Group Conjectures are statements about recognising surface groups among one-relator grou...