On factors of a decreasing central series
type: Item
instance of: scholarly article
title: On factors of a decreasing central series
zbMATH Open document ID: 0681.20024
DOI: 10.1007/BF01158564
author: I. R. Shafarevich
published in: Mathematical Notes
publication date: 1989-01-01T00:00:00Z
review text: Let \(S\) be the free group with \(d\) free generators, \(p\) is a prime number, \(N_ c\) is the descending \(p\)-central series defined by induction: \(N_ 1=S\) and \(N_{c+1}=(N_ c,S)N_ c^ p\). In this paper a complete description of the factors \(N_ c/N_{c+1}\) of the descending \(p\)-series with \(p=2\) is given. In the case of \(p\neq 2\) a similar description has been found by the author earlier.
Mathematics Subject Classification ID: 20F14
Mathematics Subject Classification ID: 20E05
zbMATH DE Number: 4114880
zbMATH Keywords: free group
zbMATH Keywords: free generators
zbMATH Keywords: descending \(p\)-central series
MaRDI profile type: Publication
cites work: Q5828054
full work available at URL: https://doi.org/10.1007/bf01158564
OpenAlex ID: W2069606440
description: scientific article; zbMATH DE number 4114880