Short proofs for some residual properties of free groups
type: Item
instance of: scholarly article
title: Short proofs for some residual properties of free groups
zbMATH Open document ID: 0782.20023
author: Alain Valette
published in: Expositiones Mathematicae
publication date: 1993-06-29T00:00:00Z
review text: The author gives short proofs of the following well-known results: 1) For any prime \(p\) the free group \(F_ n\) (\(1\leq n\leq \infty\)) is residually a finite \(p\)-group, 2) If \(S\) is an infinite set of primes then the free group \(F_ 2\) is residually \(PSL_ 2(p)\), for \(p\in S\).
Mathematics Subject Classification ID: 20E26
Mathematics Subject Classification ID: 20E05
Mathematics Subject Classification ID: 20E07
zbMATH DE Number: 220988
zbMATH Keywords: free group
zbMATH Keywords: residually a finite \(p\)-group
zbMATH Keywords: residually \(PSL_ 2(p)\)
reviewed by: Alexander Ivanovich Budkin
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 220988