scientific article

zbMath0992.51006MaRDI QIDQ2781474

Alexander A. Ivanov, Sergey V. Shpectorov

Publication date: 20 March 2002

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

diagram geometrygraphsflag-transitive automorphism grouprevision of the classification of finite simple groupssporadic finite simple groupsamalgams of maximal parabolicscoverings of geometriesPetersen and tilde geometriesrepresentations of geometries

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Buildings and the geometry of diagrams (51E24) Research exposition (monographs, survey articles) pertaining to geometry (51-02) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

Related Items (16)

Odd-dimensional orthogonal groups as amalgams of unitary groups. I: General simple connect\-ed\-ness. ⋮ A characterisation of weakly locally projective amalgams related to \(A_{16}\) and the sporadic simple groups \(M_{24}\) and \(He\). ⋮ A characterization of the Mathieu-Conway-Monster series of locally projective graphs ⋮ A new proof of a theorem of Phan ⋮ Shrinkings, structures at infinity and affine expansions, with an application to c-extended \(P\)- and \(T\)-geometries ⋮ Flag-transitive \(c\)-extensions of the \(F_4(2)\)-building -- the amalgams ⋮ An amalgam uniqueness result for recognising \(q^6:\mathrm{SU}_3(q)\), \(G_2(q)\), or \(3^{\cdot}M_{10}\) using biaffine polar spaces ⋮ The non-existence of a super-Janko group ⋮ A diameter bound for extensions of the \(F_{4}\)(2)-building ⋮ On three families of extended tilde geometries ⋮ Odd-dimensional orthogonal groups as amalgams of unitary groups. II: Machine computations. ⋮ Spin covers of maximal compact subgroups of Kac-Moody groups and spin-extended Weyl groups ⋮ Unipotent representations of Lie incidence geometries ⋮ Locally projective graphs and their densely embedded subgraphs ⋮ Unnamed Item ⋮ On finite \(s\)-transitive graphs of odd order

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