Simple groups of finite Morley rank and Tits buildings

DOI10.1007/BF02775036zbMath0933.20020MaRDI QIDQ1288501

Katrin Tent, Linus K. H. Kramer, Van Maldeghem, Hendrik

Publication date: 2 April 2000

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

algebraic groupsgeneralized polygonsspherical BN-pairsinfinite simple groupsMorley ranksimple algebraic groupsCherlin-Zil'ber conjecturespherical Moufang buildings

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Applications of logic to group theory (20A15) Model-theoretic algebra (03C60) Simple groups (20E32) Buildings and the geometry of diagrams (51E24) Groups with a (BN)-pair; buildings (20E42) Classification theory, stability, and related concepts in model theory (03C45)

Related Items

An identification theorem for groups of finite Morley rank and even type., Asymptotic classes of finite Moufang polygons, A generic identification theorem for \(L^*\)-groups of finite Morley rank., Groups of finite Morley rank and even type with strongly closed Abelian subgroups, Moufang sets of finite Morley rank of odd type., On groups of finite Morley rank with a split \(BN\)-pair of rank 1., Building-like geometries of finite Morley rank, Special abelian Moufang sets of finite Morley rank in characteristic 2, Book Review: Simple groups of finite Morley rank, Split BN-pairs of finite Morley rank, A note on the model theory of generalized polygons

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