Abnormal subgroups in solvable groups of finite Morley rank

DOI10.1006/jabr.2000.8302zbMath0984.20022OpenAlexW1972791737MaRDI QIDQ1577624

Frécon, Olivier

Publication date: 6 February 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8302

zbMATH Keywords

Carter subgroupssoluble groupssaturated formationsstable groupsabnormal subgroupscovering subgroupsdefinable subgroupsgroups finite Morley rank

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Model-theoretic algebra (03C60) Simple groups (20E32) Nilpotent groups (20F18) Classification theory, stability, and related concepts in model theory (03C45) Formations of groups, Fitting classes (20F17)

Related Items (24)

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. ⋮ Cartan subgroups of groups definable in o-minimal structures ⋮ Sous-groupes de Carter dans les groupes de rang de Morley fini ⋮ On Weyl groups in minimal simple groups of finite Morley rank. ⋮ Structure of Borel subgroups in simple groups of finite Morley rank. ⋮ On groups of finite Morley rank of even type ⋮ Dimensional quasi-Frobenius groups ⋮ Simple \(L^*\)-groups of even type with strongly embedded subgroups. ⋮ Minimal connected simple groups of finite Morley rank with strongly embedded subgroups. ⋮ Unnamed Item ⋮ Generalized Hall subgroups in soluble groups of finite Morley rank ⋮ Automorphism groups of small simple groups of finite Morley rank ⋮ Groups of finite Morley rank of even type with a weakly embedded subgroup ⋮ Simple \(L^*\)-groups of even type with weakly embedded subgroups. ⋮ Full Frobenius Groups of Finite Morley Rank and the Feit-Thompson Theorem ⋮ Pseudo-tori and subtame groups of finite Morley rank ⋮ On the linearity of torsion-free nilpotent groups of finite Morley rank ⋮ Around unipotence in groups of finite Morley rank ⋮ Carter subgroups in tame groups of finite Morley rank ⋮ Sylow theory for p = 0 in solvable groups of finite Morley rank ⋮ CONJUGACY OF CARTER SUBGROUPS IN GROUPS OF FINITE MORLEY RANK ⋮ Limoncello.

Cites Work

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• Groups of finite Morley rank of even type with a weakly embedded subgroup

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