Tits geometries over gf(2) Defined by groups over gf(3)

DOI10.1080/00927878308822926zbMath0518.51007OpenAlexW2023391122MaRDI QIDQ3667502

Stephen D. Smith, Michael Aschbacher

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1080/00927878308822926

zbMATH Keywords

diagram geometriesChevalley groupsTits geometriessporadic geometries

Mathematics Subject Classification ID

Series and lattices of subgroups (20D30) Simple groups: alternating groups and groups of Lie type (20D06) Other finite nonlinear geometries (51E25)

Related Items (18)

Universal presheaves on group geometries, and modular representations ⋮ On the universal embedding of the near-hexagon for \(U_ 4(3)\) ⋮ Some locally finite flag-transitive buildings ⋮ Some homotopy equivalences for sporadic geometries ⋮ A note on three rank four geometries for \(P\Omega_ 6^ -(3)\) ⋮ Extensions of the chamber system of type \(A_ 3\) for \(A_ 7\) ⋮ A finite flag-transitive geometry of extended \(G_ 2\)-type ⋮ Intransitive geometries and fused amalgams ⋮ Rank one isolated \(p\)-minimal subgroups in finite groups ⋮ Chamber systems, geometries and parabolic systems whose diagram contains only bonds of strength 1 and 2 ⋮ Some projective modules determined by sporadic geometries ⋮ Some sporadic geometries related to PG(3,2) ⋮ Chamber graphs of some geometries that are almost buildings ⋮ The universal embedding for the involution geometry of \(Co_1\) ⋮ Some exceptional 2-adic buildings ⋮ The affine building of type \(\tilde A_ 2\) over a local field of characteristic two ⋮ Good contributors to the order of the finite simple groups ⋮ Minimal parabolic geometries for the sporadic groups

Cites Work

• Some geometries that are almost buildings
• Tits geometries and parabolic systems in finitely generated groups. I
• Flag structures on Tits geometries
• On finite groups of Lie type and odd characteristic
• A characterization of Chevalley groups over fields of odd order. I, II
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