On a 2-generated infinite 3-group: Subgroups and automorphisms
type: Item
instance of: scholarly article
title: On a 2-generated infinite 3-group: Subgroups and automorphisms
zbMATH Open document ID: 0623.20025
DOI: 10.1016/0021-8693(87)90035-4
author: B. George
published in: Journal of Algebra
publication date: 1987-01-01T00:00:00Z
full work available at URL: http://hdl.handle.net/2027.42/26543
review text: This is the second of two papers [for the first see the preceding review] dealing with aspects of a certain 2-generator infinite 3-group G defined by the author and N. D. Gupta as a group of automorphisms of an infinite tree. In this second paper he investigates the subgroups and conjugacy classes of G with a view to determining the automorphism group A of G. He shows after lengthy analysis that A is a split extension of H by a Klein 4-group, where H is in turn a split extension of G by an infinite elementary abelian 3-group.
Mathematics Subject Classification ID: 20F05
Mathematics Subject Classification ID: 20F28
Mathematics Subject Classification ID: 20F50
Mathematics Subject Classification ID: 20E07
zbMATH DE Number: 4010768
zbMATH Keywords: 2-generator infinite 3-group
zbMATH Keywords: group of automorphisms
zbMATH Keywords: infinite tree
zbMATH Keywords: subgroups
zbMATH Keywords: conjugacy classes
zbMATH Keywords: automorphism group
zbMATH Keywords: split extension
reviewed by: D. J. McCaughan
MaRDI profile type: Publication
OpenAlex ID: W1965077256
cites work: On Burnside's problem on periodic groups
cites work: On the Burnside problem for periodic groups
cites work: Q3346483
cites work: Some infinite \(p\)-groups
cites work: On a 2-generated infinite 3-group: The presentation problem
description: scientific article; zbMATH DE number 4010768