Pseudo-tori and subtame groups of finite Morley rank

DOI10.1515/JGT.2008.079zbMath1186.20025OpenAlexW2035071954MaRDI QIDQ3619535

Frécon, Olivier

Publication date: 8 April 2009

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2008.079

zbMATH Keywords

groups of finite Morley rankcentralizersdecent toriconjugacy of maximal pseudo-tori

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Subgroup theorems; subgroup growth (20E07) Model-theoretic algebra (03C60) Simple groups (20E32) Inner models, including constructibility, ordinal definability, and core models (03E45) Groups of finite Morley rank (20F11)

Related Items

Steinberg's torsion theorem in the context of groups of finite Morley rank ⋮ On Weyl groups in minimal simple groups of finite Morley rank. ⋮ Dimensional quasi-Frobenius groups ⋮ Unipotence in positive characteristic for groups of finite Morley rank ⋮ Groups of finite Morley rank with a pseudoreflection action. ⋮ Linearity of groups definable in o-minimal structures ⋮ Groups of finite Morley rank with a generically sharply multiply transitive action ⋮ Algebraic ℚ-groups as abstract groups

Cites Work

• A signalizer functor theorem for groups of finite Morley rank.
• Abnormal subgroups in solvable groups of finite Morley rank
• Structure of linear groups definable in a field of finite Morley rank.
• Fields of finite Morley rank
• Le Canada Semi-Dry
• Carter subgroups in tame groups of finite Morley rank
• Good tori in groups of finite Morley rank
• The existence of Carter subgroups in groups of finite Morley rank