A Reidemeister-Schreier theorem for finitely $L$-presented groups
Group Theory
2011-08-12 v1
Abstract
We prove a variant of the well-known Reidemeister-Schreier theorem for finitely -presented groups. More precisely, we prove that each finite index subgroup of a finitely -presented group is itself finitely -presented. Our proof is constructive and it yields a finite -presentation for the subgroup. We further study conditions on a finite index subgroup of an invariantly finitely -presented group to be invariantly -presented itself.
Cite
@article{arxiv.1108.2403,
title = {A Reidemeister-Schreier theorem for finitely $L$-presented groups},
author = {René Hartung},
journal= {arXiv preprint arXiv:1108.2403},
year = {2011}
}