On Solvable Groups of Finite Morley Rank

DOI10.2307/2001580zbMath0725.03020OpenAlexW4241979637MaRDI QIDQ5202643

Ali Nesin

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2001580

zbMATH Keywords

algebraic groupsFitting groupderived groupSolvable groups of finite Morley rank

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Model-theoretic algebra (03C60) Classification theory, stability, and related concepts in model theory (03C45)

Related Items

Tame minimal simple groups of finite Morley rank ⋮ Involutive automorphisms of \(N^\circ_\circ\)-groups of finite Morley rank ⋮ On groups of finite Morley rank of even type ⋮ Parabolic 2-local subgroups in groups of finite Morley rank of even type. ⋮ Simple \(L^*\)-groups of even type with strongly embedded subgroups. ⋮ Groups of Finite Morley Rank with Solvable Local Subgroups ⋮ Minimal connected simple groups of finite Morley rank with strongly embedded subgroups. ⋮ Unnamed Item ⋮ Linear representations of soluble groups of finite Morley rank ⋮ Generalized Hall subgroups in soluble groups of finite Morley rank ⋮ Groups of finite Morley rank and even type with strongly closed Abelian subgroups ⋮ Groups of mixed type ⋮ Groups of mixed type ⋮ Groups of finite Morley rank of even type with a weakly embedded subgroup ⋮ Simple \(L^*\)-groups of even type with weakly embedded subgroups. ⋮ Around unipotence in groups of finite Morley rank ⋮ Abnormal subgroups in solvable groups of finite Morley rank ⋮ Nilpotent complements and Carter subgroups in stable \({\mathfrak R}\)

Cites Work

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