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

zbMath0994.20028MaRDI QIDQ5939563

Eric Jaligot

Publication date: 3 September 2001

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

zbMATH Keywords

Carter subgroupsalgebraic groupsgroups of finite Morley rankSylow subgroups\(\text{PSL}_2(K)\)Cherlin-Zilber conjecturesimple 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

Pushing up and \(C(G,T)\) in groups of finite Morley rank of even type ⋮ On groups of finite Morley rank of even type ⋮ Parabolic 2-local subgroups in groups of finite Morley rank of even type. ⋮ Simple \(L^*\)-groups of even type with strongly embedded subgroups. ⋮ A generic identification theorem for \(L^*\)-groups of finite Morley rank. ⋮ Groups of finite Morley rank and even type with strongly closed Abelian subgroups ⋮ Simple \(L^*\)-groups of even type with weakly embedded subgroups. ⋮ Abnormal subgroups in solvable groups of finite Morley rank ⋮ Limoncello.

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