Simple \(L^*\)-groups of even type with weakly embedded subgroups.

DOI10.1016/j.jalgebra.2004.09.040zbMath1073.20024OpenAlexW1963941482MaRDI QIDQ1771336

Gregory L. Cherlin, Altınel, Tuna

Publication date: 21 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.09.040

zbMATH Keywords

groups of even typegroups of finite Morley ranksimple groupsweakly embedded subgroups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Applications of logic to group theory (20A15) Subgroup theorems; subgroup growth (20E07) Model-theoretic algebra (03C60) Simple groups (20E32) Classification theory, stability, and related concepts in model theory (03C45)

Related Items

Minimal connected simple groups of finite Morley rank with strongly embedded subgroups. ⋮ A generic identification theorem for \(L^*\)-groups of finite Morley rank. ⋮ Limoncello.

Cites Work

• Unnamed Item
• Unnamed Item
• On type definable subgroups of a stable group
• On groups of finite Morley rank with weakly embedded subgroups
• On groups of finite Morley rank of even type
• Simple \(L^*\)-groups of even type with strongly embedded subgroups.
• Abnormal subgroups in solvable groups of finite Morley rank
• Groups of finite Morley rank with strongly embedded subgroups
• Tores et p-groupes
• Subgroups of stable groups
• Generalized Fitting subgroup of a group of finite Morley rank
• Poly-separated and ω-stable nilpotent groups
• On CN-Groups of Finite Morley Rank
• Quelques modestes remarques a propos d'une conséquence inattendue d'un résultat surprenant de monsieur frank olaf wagner
• On Solvable Groups of Finite Morley Rank
• Groups of mixed type
• Groups of finite Morley rank of even type with a weakly embedded subgroup