Groups of finite Morley rank and even type with strongly closed Abelian subgroups

DOI10.1006/jabr.2000.8345zbMath0974.20026OpenAlexW1972999314MaRDI QIDQ5925807

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

Publication date: 3 May 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8345

zbMATH Keywords

connected componentsgroups of even typegroups of finite Morley rankinfinite definable Abelian subgroupssimple tame \(K^*\)-groupsSylow 2-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)

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. ⋮ A generic identification theorem for \(L^*\)-groups of finite Morley rank. ⋮ Groups of finite Morley rank of even type with a weakly embedded subgroup ⋮ Full Frobenius Groups of Finite Morley Rank and the Feit-Thompson Theorem ⋮ The classical involution theorem for groups of finite Morley rank ⋮ Limoncello.

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