Generalized Fitting subgroup of a group of finite Morley rank

DOI10.2307/2275483zbMath0743.03027OpenAlexW2012984561MaRDI QIDQ3984414

Ali Nesin

Publication date: 27 June 1992

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

Full work available at URL: https://doi.org/10.2307/2275483

zbMATH Keywords

groups of finite Morley rankcentralizerradicalsoclefinite group theoryFitting subgroup

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Special aspects of infinite or finite groups (20F99) Classification theory, stability, and related concepts in model theory (03C45)

Related Items (16)

Tame minimal simple groups of finite Morley rank ⋮ The Bender method in groups of finite Morley rank. ⋮ Structure of linear groups definable in a field of finite Morley rank. ⋮ Pushing up and \(C(G,T)\) in groups of finite Morley rank of even type ⋮ On groups of finite Morley rank of even type ⋮ Simple \(L^*\)-groups of even type with strongly embedded subgroups. ⋮ Unnamed Item ⋮ 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 ⋮ Simple \(L^*\)-groups of even type with weakly embedded subgroups. ⋮ The classical involution theorem for groups of finite Morley rank ⋮ Signalizers and balance in groups of finite Morley rank. ⋮ Around unipotence in groups of finite Morley rank ⋮ Sylow theory for p = 0 in solvable groups of finite Morley rank ⋮ Abnormal subgroups in solvable groups of finite Morley rank

Cites Work

• Unnamed Item
• Semisimple stable and superstable groups
• Solvable groups of finite Morley rank
• 2-fusion in finite groups
• On groups with abelian Sylow 2-subgroups

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