Tame minimal simple groups of finite Morley rank

DOI10.1016/j.jalgebra.2003.12.027zbMath1056.20020OpenAlexW1973235250MaRDI QIDQ1883047

Eric Jaligot, Gregory L. Cherlin

Publication date: 1 October 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.12.027

zbMATH Keywords

groups of finite Morley rankCherlin-Zilber conjectureinfinite minimal simple groups

Mathematics Subject Classification ID

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

Related Items (25)

The Bender method in groups of finite Morley rank. ⋮ Structure of linear groups definable in a field of finite Morley rank. ⋮ Involutive automorphisms of \(N^\circ_\circ\)-groups of finite Morley rank ⋮ IN MEMORIAM: ÉRIC JALIGOT 1972–2013 ⋮ On Weyl groups in minimal simple groups of finite Morley rank. ⋮ Weyl groups of small groups of finite Morley rank. ⋮ Structure of Borel subgroups in simple groups of finite Morley rank. ⋮ Dimensional quasi-Frobenius groups ⋮ Small groups of finite Morley rank with a supertight automorphism ⋮ Lie rank in groups of finite Morley rank with solvable local subgroups. ⋮ Simple \(L^*\)-groups of even type with strongly embedded subgroups. ⋮ A signalizer functor theorem for groups of finite Morley rank. ⋮ Groups of Finite Morley Rank with Solvable Local Subgroups ⋮ Minimal connected simple groups of finite Morley rank with strongly embedded subgroups. ⋮ Minimal connected simple algebraic groups of odd type. ⋮ Non-algebraic minimal connected simple groups of odd type. ⋮ Groups of finite Morley rank with a generically sharply multiply transitive action ⋮ SIMPLE GROUPS OF MORLEY RANK 5 ARE BAD ⋮ Cosets, genericity, and the Weyl group. ⋮ Signalizers and balance in groups of finite Morley rank. ⋮ Carter subgroups in tame groups of finite Morley rank ⋮ Sylow theory for p = 0 in solvable groups of finite Morley rank ⋮ Generix never gives up ⋮ CONJUGACY OF CARTER SUBGROUPS IN GROUPS OF FINITE MORLEY RANK ⋮ Limoncello.

Cites Work

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• On sharply n-transitive superstable groups
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• Tores et p-groupes
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• A Hall Theorem for ω-Stable Groups
• On Solvable Groups of Finite Morley Rank
• Uniqueness cases in odd-type groups of finite Morley rank
• Groups of mixed type
• Groups of mixed type

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