On the \((2,3)\)-generation of some classical groups. I

DOI10.1006/jabr.1994.1234zbMath0819.20053OpenAlexW3023810439MaRDI QIDQ1335074

Norberto Gavioli, John S. Wilson, Maria Chiara Tamburini

Publication date: 27 September 1994

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

Full work available at URL: https://doi.org/10.1006/jabr.1994.1234

zbMATH Keywords

\((2,3)\)-generated groupsclassical groupsEuclidean domainssemi-local ringsgroups generated by elementary matricesfinitely generated commutative ringsHasse domains in global fields

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Generators, relations, and presentations of groups (20F05) Residual properties and generalizations; residually finite groups (20E26) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (16)

CONTINUOUS FAMILIES OF HYPERFINITE SUBFACTORS WITH THE SAME STANDARD INVARIANT ⋮ Generation of certain matrix groups by three involutions, two of which commute ⋮ On the \((2,3)\)-generation of hyperbolic symplectic groups of large rank. ⋮ The group \(\text{Sp}_{10}(\mathbb Z)\) is \((2,3)\)-generated. ⋮ Constructive (2,3)-generation: A permutational approach ⋮ THE -GENERATION OF THE SPECIAL LINEAR GROUPS OVER FINITE FIELDS ⋮ Towards the Hurwitz generation of \(G_{sc}(E_6,q)\). ⋮ On the \((2,3)\)-generation of hyperbolic symplectic groups. ⋮ On (2,3)-generation of matrix groups over the ring of integers, II ⋮ Hurwitz Groups and Hurwitz Generation ⋮ THE (2,3)-GENERATION OF THE CLASSICAL SIMPLE GROUPS OF DIMENSIONS 6 AND 7 ⋮ On (2, 3)-Generation of Low-Dimensional Symplectic Groups Over the Integers ⋮ The (2,3)-generation of the finite unitary groups ⋮ Applications of character theory of finite simple groups ⋮ On (2,3)-generation of matrix groups over the ring of integers ⋮ Probabilistic and Asymptotic Aspects of Finite Simple Groups

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