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arxiv: math/0201002 · v1 · submitted 2001-12-31 · 🧮 math.GR

The Frattini subgroup for subgroups of hyperbolic groups

classification 🧮 math.GR
keywords subgroupfrattinifinitefinitelygeneratedgroupgroupshyperbolic
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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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