English

The Frattini subgroup for subgroups of hyperbolic groups

Group Theory 2007-05-23 v1

Abstract

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

Keywords

Cite

@article{arxiv.math/0201002,
  title  = {The Frattini subgroup for subgroups of hyperbolic groups},
  author = {Ilya Kapovich},
  journal= {arXiv preprint arXiv:math/0201002},
  year   = {2007}
}

Comments

8 pages, 3 figures