Parabolic 2-local subgroups in groups of finite Morley rank of even type.

DOI10.1016/S0021-8693(03)00393-4zbMath1040.20025MaRDI QIDQ1414040

Luis-Jaime Corredor, Alexandre V. Borovik, Altınel, Tuna, Gregory L. Cherlin

Publication date: 19 November 2003

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

zbMATH Keywords

parabolic subgroupsgroups of finite Morley rankCherlin-Zilber conjecturegeneralized Fitting subgroup

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Applications of logic to group theory (20A15) Subgroup theorems; subgroup growth (20E07) Model-theoretic algebra (03C60) Simple groups (20E32) Classification theory, stability, and related concepts in model theory (03C45)

Related Items (6)

Pushing up and \(C(G,T)\) in groups of finite Morley rank of even type ⋮ A signalizer functor theorem for groups of finite Morley rank. ⋮ A generic identification theorem for \(L^*\)-groups of finite Morley rank. ⋮ Groups of finite Morley rank and even type with strongly closed Abelian subgroups ⋮ SEMISIMPLE TORSION IN GROUPS OF FINITE MORLEY RANK ⋮ Signalizers and balance in groups of finite Morley rank.

Cites Work

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• Schur-Zassenhaus theorem revisited
• On Solvable Groups of Finite Morley Rank
• Groups of mixed type
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• Groups of finite Morley rank and even type with strongly closed Abelian subgroups
• Groups of finite Morley rank of even type with a weakly embedded subgroup

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