Erratum: W. S. Jassim, On the intersection of finitely generated subgroups of free groups
type: Item
instance of: scholarly article
title: Erratum: W. S. Jassim, On the intersection of finitely generated subgroups of free groups
zbMATH Open document ID: 0919.20015
author: Warren Dicks
published in: Revista Matemática Complutense
publication date: 1999-07-07T00:00:00Z
full work available at URL: https://eudml.org/doc/38771
review text: Let \(F\) be a free group, and let \(H\) and \(K\) be finitely generated subgroups of \(F\). Recently \textit{W. S. Jassim} [ Rev. Mat. Univ. Complut. 9, No. 1, 67--84 (1996; Zbl 0884.20016)] claimed to obtain a certain upper bound for the rank of \(H\cap K\) in terms of the ranks of \(H\) and \(K\). Jassim's proof is not valid, and we will demonstrate this by giving a counterexample to his Lemma 2.4.
Mathematics Subject Classification ID: 20E07
Mathematics Subject Classification ID: 20E05
Mathematics Subject Classification ID: 20E08
zbMATH DE Number: 1267961
zbMATH Keywords: finitely generated subgroups of free groups
zbMATH Keywords: Cayley coset graphs
zbMATH Keywords: rank of subgroups
MaRDI profile type: Publication
DOI: 10.5209/REV_REMA.1998.V11.N2.17238
description: scientific article; zbMATH DE number 1267961