Matrix generators for the orthogonal groups

DOI10.1006/jsco.1997.0180zbMath0910.20030OpenAlexW2082816294MaRDI QIDQ1264450

K. Appert

Publication date: 20 April 1999

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/c7aeb774d5620b6111291ea8d758c514cb5fd364

zbMATH Keywords

Weyl groupsorthogonal groupscomputer algebra systemsmatrix generatorsfinite simple groups of Lie typelinear groupspairs of generatorsroot elements

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Linear algebraic groups over finite fields (20G40) Generators, relations, and presentations of groups (20F05) Simple groups: alternating groups and groups of Lie type (20D06) Representations of finite groups of Lie type (20C33)

Related Items (8)

Conjugacy of Subgroups of the General Linear Group ⋮ Two-closure of rank \(3\) groups in polynomial time ⋮ A counterexample to a conjugacy conjecture of Steinberg ⋮ Computing isometry groups of Hermitian maps ⋮ Galois criterion for torsion points of Drinfeld modules ⋮ Matrix generators for exceptional groups of Lie type ⋮ SMALL ZEROS OF QUADRATIC FORMS OVER $\overline{\mathbb{Q}}$ ⋮ Construction of the irreducible modular representations of a finite group

Uses Software

• Magma

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