The Frattini subgroup for subgroups of hyperbolic groups

Details The Frattini subgroup for subgroups of hyperbolic groups The Frattini subgroup for subgroups of hyperbolic groups

2001-12-31

arxiv.org/abs/math/0201002v1

Mathematics

Group Theory

8 pages, 3 figures

Scientific paper

We prove that for a finitely generated subgroup $H$ of a word-hyperbolic
group $G$ the Frattini subgroup $F(H)$ of $H$ is finite.

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