The discrete Heisenberg group and its automorphism group
type: Item
instance of: scholarly article
title: The discrete Heisenberg group and its automorphism group
zbMATH Open document ID: 1332.22013
DOI: 10.1134/S0001434615070160
author: D. V. Osipov
published in: Mathematical Notes
publication date: 2015-10-26T00:00:00Z
full work available at URL: https://arxiv.org/abs/1505.00348
review text: In [``Automorphisms of the discrete Heisenberg groups'', Preprint , \url{http://www.math.cornell.edu/m/People/Faculty/kahn}], \textit{P. Kahn} showed that the automorphism group of the discrete Heisenberg group \(\mathrm{Heis}(3,\mathbb{Z})\) is isomorphic to the group \((\mathbb{Z} \oplus \mathbb{Z}) \rtimes \mathrm{GL}(2,\mathbb{Z})\). In the paper under review, the author gives a simpler and shorter proof of this result.
reviewed by: Valeriu Popa
Mathematics Subject Classification ID: 22E40
zbMATH DE Number: 6498250
zbMATH Keywords: discrete Heisenberg group
zbMATH Keywords: automorphism group
zbMATH Keywords: structure theorem
MaRDI profile type: Publication
arXiv ID: 1505.00348
cites work: Braid Groups
OpenAlex ID: W3101517080
description: scientific article