A Reidemeister-Schreier theorem for finitely L-presented groups

2011/08/11 by René Hartung, Hartung, René
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #math.GR

paper · pdf · doi:10.48550/arxiv.1108.2403

arxiv created 2011/08/11 · arxiv updated 2011/08/12

Abstract

We prove a variant of the well-known Reidemeister-Schreier theorem for finitely L-presented groups. More precisely, we prove that each finite index subgroup of a finitely L-presented group is itself finitely L-presented. Our proof is constructive and it yields a finite L-presentation for the subgroup. We further study conditions on a finite index subgroup of an invariantly finitely L-presented group to be invariantly L-presented itself.

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