LOCAL CHARACTERISTIC $p$ COMPLETIONS OF WEAK $BN$-PAIRS

DOI10.1112/S0024611506015802zbMath1121.20010MaRDI QIDQ5489168

Christopher Parker, Peter J. Rowley

Publication date: 25 September 2006

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

zbMATH Keywords

parabolic subgroupssporadic simple groupsfinite simple groupsSylow subgroupsamalgamscompletions\(p\)-local subgroupscoset geometriesassociated buildingsclassical weak BN-pairsgroups of local characteristic \(p\)-typerank two Lie-type groups

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Buildings and the geometry of diagrams (51E24) Simple groups: alternating groups and groups of Lie type (20D06) Groups with a (BN)-pair; buildings (20E42)

Related Items (10)

Fusion systems over a Sylow \(p\)-subgroup of \(\mathrm{G}_2(p)\) ⋮ A 3-local characterization of \(Co_3\). ⋮ The global structure theorem for finite groups with an abelian large \(p\)-subgroup ⋮ Finite Groups Which are Almost Groups of Lie Type in Characteristic 𝐩 ⋮ Fusion systems realizing certain Todd modules ⋮ Rank one isolated \(p\)-minimal subgroups in finite groups ⋮ A 3-local identification of the alternating group of degree 8, the McLaughlin simple group and their automorphism groups. ⋮ A 3-local characterization of \(Co_2\). ⋮ On strongly \(p\)-embedded subgroups of Lie rank 2. ⋮ Fusion systems on a Sylow \(p\)-subgroup of \(G_2(p^n)\) or \(PSU_4(p^n)\)

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