An amalgam uniqueness result for recognising \(q^6:\mathrm{SU}_3(q)\), \(G_2(q)\), or \(3^{\cdot}M_{10}\) using biaffine polar spaces

DOI10.1016/j.jalgebra.2013.10.028zbMath1298.51010OpenAlexW1576016174MaRDI QIDQ405823

Justin F. McInroy

Publication date: 8 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2013.10.028

zbMATH Keywords

hyperplanediagram geometryMathieu grouprecognition theorem\(G_2\)amalgambiaffine polar space

Mathematics Subject Classification ID

Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Related Items (1)

A geometric realization of \(\mathfrak{sl}(6,\mathbb C)\)

Uses Software

• GAP

Cites Work

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• Two classes of hyperplanes of dual polar spaces without subquadrangular quads
• Chevalley groups of type \(G_ 2\) as the group of a trilinear form
• Buildings of spherical type and finite BN-pairs
• Affine polar spaces
• Flag-transitive hyperplane complements in classical generalized quadrangles
• On the automorphisms of the symplectic group over any field
• Hyperplanes of dual polar spaces of rank 3 with no subquadrangular quad
• Biaffine polar spaces
• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
• On a class of affine geometries
• Automorphisms of trivalent graphs

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