The minimal number of generating involutions whose product is 1 for the groups \(\mathrm{PSL}_3(2^m)\) and \(\mathrm{PSU}3(q^2) \)

DOI10.1134/s0037446623060058zbMath1530.20054OpenAlexW4389379412MaRDI QIDQ6179764

Rodion Igorevich Gvozdev, Ya. N. Nuzhin

Publication date: 18 December 2023

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446623060058

zbMATH Keywords

involutionsfinite simple groupgenerating setspecial linear and unitary groups

Mathematics Subject Classification ID

Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06)

Cites Work

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• Remark on a theorem of L. Dickson
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• Generating triples of involutions of alternating groups
• Generation of classical groups
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• Generating triples of involutions of Chevalley groups over a finite field of characteristic 2
• Generating sets of involutions of finite simple groups
• Unsolved Problems in Group Theory. The Kourovka Notebook
• Generating triples of involutions of large sporadic groups

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