Generating sets of involutions of finite simple groups

DOI10.1007/s10469-019-09547-xzbMath1485.20040OpenAlexW2987090739MaRDI QIDQ2300744

Ya. N. Nuzhin

Publication date: 28 February 2020

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-019-09547-x

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Finite simple groups and their classification (20D05)

Related Items (1)

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

Cites Work

• Matrices and cohomology
• Generating triples of involutions of alternating groups
• Generation of classical groups
• On two questions from the Kourovka notebook
• Classical groups, probabilistic methods, and the \((2,3)\)-generation problem
• Generating triples of involutions of groups of Lie type of rank 2 over finite fields
• Generating triples of involutions of Chevalley groups over a finite field of characteristic 2
• The (2, 3)-generation of the special unitary groups of dimension 6
• On R. Chapman's ``evil determinant: case p≡1±od4
• THE -GENERATION OF THE SPECIAL LINEAR GROUPS OVER FINITE FIELDS
• (2,3)-Generation of Exceptional Groups
• Generating triples of involutions of large sporadic groups
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