Moufang polygons and irreducible spherical BN-pairs of rank 2. I

DOI10.1016/S0001-8708(02)00039-7zbMath1030.20019MaRDI QIDQ1869993

Katrin Tent, Van Maldeghem, Hendrik

Publication date: 4 May 2003

Published in: Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

generalized polygonsMoufang polygonsbuildingssplit BN-pairsirreducible spherical BN-pairs

Mathematics Subject Classification ID

Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Buildings and the geometry of diagrams (51E24) Groups with a (BN)-pair; buildings (20E42)

Related Items (6)

Half-Moufang generalized hexagons. ⋮ Split BN-pairs of rank 2: the octagons. ⋮ Moufang-like conditions for generalized quadrangles and classification of all finite quasi-transi\-tive generalized quadrangles ⋮ Geometric characterizations of finite Chevalley groups of type B₂ ⋮ New simple groups with a BN-pair. ⋮ Finite Moufang generalized quadrangles

Cites Work

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• Finite groups with a split BN-pair of rank 1. II
• On irreducible (B,N)-pairs of rank 2
• BN-pairs with projective or affine lines
• Very Homogeneous Generalized n -Gons of Finite Morley Rank

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