A GENERIC IDENTIFICATION THEOREM FOR GROUPS OF FINITE MORLEY RANK

DOI10.1112/S0024610703004733zbMath1047.03028OpenAlexW2144944606MaRDI QIDQ4469248

Ayşe Berkman, Alexandre V. Borovik

Publication date: 14 June 2004

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024610703004733

zbMATH Keywords

groups of finite Morley rankChevalley groupsinfinite simple groups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Model-theoretic algebra (03C60) Simple groups (20E32) Classification theory, stability, and related concepts in model theory (03C45)

Related Items (8)

A GENERATION THEOREM FOR GROUPS OF FINITE MORLEY RANK ⋮ Groups of finite Morley rank with a pseudoreflection action. ⋮ \(\mathrm{Sym}(n)\)- and \(\mathrm{Alt}(n)\)-modules with an additive dimension ⋮ A signalizer functor theorem for groups of finite Morley rank. ⋮ A generic identification theorem for \(L^*\)-groups of finite Morley rank. ⋮ Simple Lie rings of Morley rank 4 (The Spanish Inquisition) ⋮ Groups of finite Morley rank with a generically sharply multiply transitive action ⋮ Signalizers and balance in groups of finite Morley rank.

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