On groups of finite Morley rank with a split \(BN\)-pair of rank 1.

DOI10.1016/J.JALGEBRA.2010.12.020zbMath1228.20029OpenAlexW2085696035MaRDI QIDQ555583

Josh Wiscons

Publication date: 25 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.12.020

zbMATH Keywords

groups of finite Morley rankCherlin-Zilber conjecturesimple groupsMoufang setsBN-pairs

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Model-theoretic algebra (03C60) Simple groups (20E32) Groups with a (BN)-pair; buildings (20E42) Classification theory, stability, and related concepts in model theory (03C45) Groups of finite Morley rank (20F11)

Related Items (3)

Dimensional quasi-Frobenius groups ⋮ Moufang sets of finite Morley rank of odd type. ⋮ SIMPLE GROUPS OF MORLEY RANK 5 ARE BAD

Cites Work

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• SEMISIMPLE TORSION IN GROUPS OF FINITE MORLEY RANK
• A new trichotomy theorem for groups of finite Morley rank
• On the action of the Hua subgroups in special Moufang sets
• Special Moufang sets, their root groups and their μ-maps
• Sylow theory for p = 0 in solvable groups of finite Morley rank
• Good tori in groups of finite Morley rank

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