Constructive recognition of \(\text{SL}_3(q)\).

DOI10.1016/j.jalgebra.2007.01.020zbMath1155.20048OpenAlexW2045220755MaRDI QIDQ2464495

Kay Magaard, Frank Lübeck, E. A. O'Brien

Publication date: 21 December 2007

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.01.020

zbMATH Keywords

finite classical groupsblack-box groupsLas Vegas algorithmsquasisimple groups of Lie type

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Linear algebraic groups over finite fields (20G40) Software, source code, etc. for problems pertaining to group theory (20-04) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items

Constructive recognition of classical groups in even characteristic. ⋮ Effective black-box constructive recognition of classical groups. ⋮ Black box exceptional groups of Lie type. II. ⋮ A practical model for computation with matrix groups. ⋮ Recognition of finite exceptional groups of Lie type ⋮ Constructive recognition of classical groups in odd characteristic. ⋮ Black box exceptional groups of Lie type

Uses Software

• GAP
• Magma

Cites Work

• Subgroups of exceptional groups of Lie type generated by long root elements. II. Characteristic two
• On the minimal degrees of projective representations of the finite Chevalley groups
• Short presentations for finite groups
• The Magma algebra system. I: The user language
• An improved method for generating the centralizer of an involution
• Black box classical groups
• Black box exceptional groups of Lie type
• Subgroups of Classical Groups Generated by Long Root Elements
• Black-box recognition of finite simple groups of Lie type by statistics of element orders
• Generating random elements of a finite group
• Endliche Gruppen I
• Constructive recognition of 𝑃𝑆𝐿(2,𝑞)
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