On generation of the groups \(\mathrm{SL}_n(\mathbb{Z}+i\mathbb{Z})\) and \(\mathrm{PSL}_n(\mathbb{Z}+i\mathbb{Z})\) by three involutions, two of which commute

DOI10.26516/1997-7670.2022.40.49zbMath1496.20082OpenAlexW4285189498MaRDI QIDQ2171761

Rodion Igorevich Gvozdev, Tat'yana Borisovna Shaipova, Ya. N. Nuzhin

Publication date: 9 September 2022

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: https://mathizv.isu.ru/en/article/file?id=1410

zbMATH Keywords

special linear groupsprojective special linear groupsring of Gaussian integersgenerating triples of involutions

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Linear algebraic groups over adèles and other rings and schemes (20G35)

Cites Work

• Generation of certain matrix groups by three involutions, two of which commute
• Generating triples of involutions of Chevalley groups over a finite field of characteristic 2
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