Generation of certain matrix groups by three involutions, two of which commute

DOI10.1006/jabr.1997.7055zbMath0886.20026OpenAlexW2028966658MaRDI QIDQ1372671

J. Ning

Publication date: 1 March 1998

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1997.7055

zbMATH Keywords

Chevalley groupsfinite classical groupsspecial linear groupsmatrix groups over ringselementary transvectionsgeneration by involutions

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Generators, relations, and presentations of groups (20F05) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (5)

Unnamed Item ⋮ 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 ⋮ Unnamed Item ⋮ Hamiltonian paths in Cayley graphs ⋮ Width of groups of type $\mathrm E_{6}$ with respect to root elements. I

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generating triples of involutions of alternating groups
• On the \((2,3)\)-generation of some classical groups. I
• On the \((2,3)\)-generation on some classical groups. II
• Structure of Lie type groups of rank 1
• Generating triples of involutions of Chevalley groups over a finite field of characteristic 2
• Constructive (2,3)-generation: A permutational approach

This page was built for publication: Generation of certain matrix groups by three involutions, two of which commute