The flag-transitive tilde and Petersen-type geometries are all known

DOI10.1090/S0273-0979-1994-00511-7zbMath0817.20014arXivmath/9410220OpenAlexW2070227460MaRDI QIDQ4310794

Alexander A. Ivanov, Sergey V. Shpectorov

Publication date: 7 August 1995

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9410220

zbMATH Keywords

flag-transitive geometrydiagram geometries

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Geometric group theory (20F65) Buildings and the geometry of diagrams (51E24) Finite simple groups and their classification (20D05)

Related Items (13)

On geometries of the Fischer groups ⋮ Natural representations of some tilde and Petersen type geometries ⋮ The universal nonabelian representation of the Petersen type geometry related to \(J_ 4\) ⋮ Shrinkings, structures at infinity and affine expansions, with an application to c-extended \(P\)- and \(T\)-geometries ⋮ On locally projective graphs of girth 5 ⋮ A quarry of geometries ⋮ An infinite family of Petersen geometries with nonlinear diagram ⋮ On three families of extended tilde geometries ⋮ A group-free characterization of the P-geometry for Co2 ⋮ \(c\)-extensions of \(P\)- and \(T\)-geometries ⋮ Extending locally truncated geometries ⋮ Structure of the maximal -local geometry point-line collinearity graph ⋮ More on geometries of the Fischer group \(Fi_{22}\).

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