Osipov, D. V. The discrete Heisenberg group and its automorphism group. (English. Russian original) Zbl 1332.22013 Math. Notes 98, No. 1, 185-188 (2015); translation from Mat. Zametki 98, No. 1, 152-155 (2015). In [“Automorphisms of the discrete Heisenberg groups”, Preprint , http://www.math.cornell.edu/m/People/Faculty/kahn], 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. Reviewer: Valeriu Popa (Chişinău) Cited in 3 Documents MSC: 22E40 Discrete subgroups of Lie groups Keywords:discrete Heisenberg group; automorphism group; structure theorem PDF BibTeX XML Cite \textit{D. V. Osipov}, Math. Notes 98, No. 1, 185--188 (2015; Zbl 1332.22013); translation from Mat. Zametki 98, No. 1, 152--155 (2015) Full Text: DOI arXiv References: [1] P. Kahn, Automorphisms of the Discrete Heisenberg Groups, Preprint (2005), http://www.math. cornell.edu/m/People/Faculty/kahn. [2] D. V. Osipov and A. N. Parshin, Trudy Mat. Inst. Steklov 292 (2016) [Proc. Steklov Inst. Math. 292 (2016)] (to appear). [3] C. Kassel and V. Turaev, Braid Groups, in Grad. Texts inMath. (Springer, New-York, 2008), Vol. 247. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.