On generation of the group \(PGL_n(\mathbb{Z}+i\mathbb{Z})\) by three involutions, two of which commute

DOI10.26516/1997-7670.2024.50.143MaRDI QIDQ6663880

Ya Nuzhin, Tat'yana Borisovna Shaipova, Shkob Nifant'evich

Publication date: 15 January 2025

Published in: The Bulletin of Irkutsk State University. Series Mathematics (Search for Journal in Brave)

zbMATH Keywords

ring of Gaussian integersprojective general linear groupgenerating triples of involutions

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15)

Cites Work

• 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
• Generating sets of involutions of finite simple groups
• Generation of the group \(\text{SL}_7(\mathbb Z+i\mathbb Z)\) by three involutions, two of which commute.
• On the 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. II
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