SEMISIMPLE TORSION IN GROUPS OF FINITE MORLEY RANK

DOI10.1142/S0219061309000860zbMath1207.03043arXiv0801.3953OpenAlexW2047044147MaRDI QIDQ4933185

Jeffrey Burdges, Gregory L. Cherlin

Publication date: 12 October 2010

Published in: Journal of Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.3953

zbMATH Keywords

Weyl grouptorussimple groupsgenericityMorley ranksemisimple torsion

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Groups of finite Morley rank (20F11)

Related Items (15)

On Weyl groups in minimal simple groups of finite Morley rank. ⋮ Weyl groups of small groups of finite Morley rank. ⋮ Dimensional quasi-Frobenius groups ⋮ Groups of finite Morley rank with a pseudoreflection action. ⋮ Small groups of finite Morley rank with a supertight automorphism ⋮ RANK 3 BINGO ⋮ Groups of Finite Morley Rank with Solvable Local Subgroups ⋮ The geometry of involutions in ranked groups with a<scp>ti</scp>‐subgroup ⋮ Automorphism groups of small simple groups of finite Morley rank ⋮ Moufang sets of finite Morley rank of odd type. ⋮ On groups of finite Morley rank with a split \(BN\)-pair of rank 1. ⋮ Groups of finite Morley rank with a generically sharply multiply transitive action ⋮ SIMPLE GROUPS OF MORLEY RANK 5 ARE BAD ⋮ Cosets, genericity, and the Weyl group. ⋮ GROUPS OF MORLEY RANK 4

Cites Work

• Parabolic 2-local subgroups in groups of finite Morley rank of even type.
• A signalizer functor theorem for groups of finite Morley rank.
• Involutions in groups of finite Morley rank of degenerate type.
• On analogies between algebraic groups and groups of finite Morley rank
• A Hall Theorem for ω-Stable Groups
• A GENERATION THEOREM FOR GROUPS OF FINITE MORLEY RANK

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