\(3\)-transposition groups of orthogonal type

DOI10.1016/0021-8693(92)90036-LzbMath0799.20034OpenAlexW1981395157MaRDI QIDQ1204404

Jonathan I. Hall, Hans Cuypers

Publication date: 28 March 1993

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

Full work available at URL: https://doi.org/10.1016/0021-8693(92)90036-l

zbMATH Keywords

Fischer spacesFischer groupsgeometry of diagrams3-transpositions

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Buildings and the geometry of diagrams (51E24) Representations of groups as automorphism groups of algebraic systems (20F29) Groups with a (BN)-pair; buildings (20E42)

Related Items

SUBGROUPS OF 3-TRANSPOSITION GROUPS GENERATED BY FOUR 3-TRANSPOSITIONS ⋮ Presentations of some 3-transposition groups ⋮ A characterization of the symplectic and unitary 3-transposition groups ⋮ Presentations of Fischer groups. II ⋮ The spectra of finite 3-transposition groups ⋮ McKay's \(E_6\) observation on the largest Fischer group ⋮ Présentation de certains couples fischériens de type classique

Cites Work

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• A first step toward the classification of Fischer groups
• On a generalization of Fischer spaces
• Affine polar spaces
• Finite groups generated by 3-transpositions. I
• Présentation de certains couples fischériens de type classique
• A uniqueness lemma for groups generated by 3-transpositions
• Some 3-Transposition Groups with Normal 2-Subgroups
• Graphs, Geometry, 3-Transpositions, and Symplectic F ₂ -Transvection Groups