On groups of finite Morley rank with weakly embedded subgroups

DOI10.1006/jabr.1998.7598zbMath0921.20037OpenAlexW1968422891MaRDI QIDQ1283939

Alexandre V. Borovik, Altınel, Tuna, Gregory L. Cherlin

Publication date: 10 August 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7598

zbMATH Keywords

groups of finite Morley rankstrongly embedded subgroupsweakly embedded subgroupsinfinite simple groupsalgebraic groups over algebraically closed fieldsCherlin-Zil'ber conjectureSylow \(2\)-subgroupstame simple groups

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) Finite simple groups and their classification (20D05) Classification theory, stability, and related concepts in model theory (03C45)

Related Items

Tame minimal simple groups of finite Morley rank ⋮ Pushing up and \(C(G,T)\) in groups of finite Morley rank of even type ⋮ Involutive automorphisms of \(N^\circ_\circ\)-groups of finite Morley rank ⋮ 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. ⋮ Unnamed Item ⋮ A generic identification theorem for \(L^*\)-groups of finite Morley rank. ⋮ Groups of finite Morley rank and even type with strongly closed Abelian subgroups ⋮ Groups of mixed type ⋮ 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 ⋮ The classical involution theorem for groups of finite Morley rank ⋮ Carter subgroups in tame groups of finite Morley rank ⋮ Limoncello.

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