Generating sets of elements of Chevalley groups over a finite field

DOI10.1007/BF01980235zbMath0721.20034MaRDI QIDQ2640707

Ya. N. Nuzhin

Publication date: 1989

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

zbMATH Keywords

involutionroot subgroupsgroup of Lie typegenerated by two elementspairs of generating elements

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Generators, relations, and presentations of groups (20F05) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (3)

Weyl groups as Galois groups of a regular extension of the field \(\mathbb{Q}\) ⋮ 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

Cites Work

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• Two-element generation of the projective unimodular group
• Remark on a theorem of L. Dickson
• Structure of Ree groups
• Generating sets of root elements of Chevalley groups over a field
• Structure of Lie type groups of rank 1
• A GENERATION OF THE SYMPLECTIC GROUP
• The generation by two operators of the symplectic group over GF(2)
• Two element generation of the symplectic group
• Generators for Simple Groups
• Generating Reflections for U(2, p 2n )
• Residual properties of free groups
• Two-Element Generation of the Symplectic Group
• Generating Reflections For U(2, p²ⁿ). II, p = 2

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