Carter subgroups in tame groups of finite Morley rank

DOI10.1515/JGT.2006.024zbMath1165.20023OpenAlexW1998847082MaRDI QIDQ5480095

Frécon, Olivier

Publication date: 25 July 2006

Published in: jgth (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2006.024

zbMATH Keywords

Carter subgroupsgroups of finite Morley rankconjugacyCherlin-Zilber conjecturedecent toritame groupsgood tori

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Simple groups (20E32)

Related Items (5)

On Weyl groups in minimal simple groups of finite Morley rank. ⋮ Structure of Borel subgroups in simple groups of finite Morley rank. ⋮ Dimensional quasi-Frobenius groups ⋮ Groups of Finite Morley Rank with Solvable Local Subgroups ⋮ Pseudo-tori and subtame groups of finite Morley rank

Cites Work

• On groups of finite Morley rank with weakly embedded subgroups
• Nilpotent complements and Carter subgroups in stable \({\mathfrak R}\)
• A signalizer functor theorem for groups of finite Morley rank.
• Abnormal subgroups in solvable groups of finite Morley rank
• Tame minimal simple groups of finite Morley rank
• Groups of finite Morley rank with strongly embedded subgroups
• Good tori in groups of finite Morley rank
• The existence of Carter subgroups in groups of finite Morley rank
• Groups of mixed type
• Groups of mixed type

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