Local identification of spherical buildings and finite simple groups of Lie type

DOI10.1017/S0305004113000078zbMath1281.51008WikidataQ115336009 ScholiaQ115336009MaRDI QIDQ2842342

Gernot Stroth, Ulrich Meierfrankenfeld, Richard M. Weiss

Publication date: 13 August 2013

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

loopbuildingresiduespherical buildingfinite group of Lie type

Mathematics Subject Classification ID

Buildings and the geometry of diagrams (51E24) Loops, quasigroups (20N05) Simple groups: alternating groups and groups of Lie type (20D06) Groups with a (BN)-pair; buildings (20E42)

Related Items (6)

A 2-local identification of \(\mathrm P\Omega_8^+(3)\). ⋮ The global structure theorem for finite groups with an abelian large \(p\)-subgroup ⋮ The Local Structure Theorem for Finite Groups with a Large 𝑝-Subgroup ⋮ Afterword to the article “A brief history of the classification of the finite simple groups” ⋮ Moufang Loops and Groups with Triality are Essentially the Same Thing ⋮ 2-minimal subgroups of monomial, linear and unitary groups

Cites Work

• Unnamed Item
• Finite geometries of type \(C_ 3\) with flag-transitive groups
• Chamber systems with string diagrams
• Buildings of spherical type and finite BN-pairs
• Groups with a (B,N)-pair of rank 2. I

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