Groups of mixed type

DOI10.1006/jabr.1996.6950zbMath0878.20003OpenAlexW2015680299MaRDI QIDQ5906777

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

Publication date: 24 November 1997

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

Full work available at URL: https://semanticscholar.org/paper/7b987f9d965d34f5556bf452aa94b5279fc68c86

zbMATH Keywords

groups of finite Morley rankSylow subgroupsinfinite simple groupsCherlin-Zil'ber conjecture

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) General structure theorems for groups (20E34) Finite simple groups and their classification (20D05) Classification theory, stability, and related concepts in model theory (03C45)

Related Items

On central extensions of algebraic groups ⋮ Tame minimal simple groups of finite Morley rank ⋮ The Bender method in 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 ⋮ Superstability and central extensions of algebraic groups ⋮ Parabolic 2-local subgroups in groups of finite Morley rank of even type. ⋮ Simple \(L^*\)-groups of even type with strongly embedded subgroups. ⋮ A signalizer functor theorem for groups of finite Morley rank. ⋮ Unnamed Item ⋮ Generalized Hall subgroups in soluble groups of finite Morley rank ⋮ Groups of finite Morley rank and even type with strongly closed Abelian subgroups ⋮ Groups of mixed type ⋮ 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 ⋮ Actions of Groups of Finite Morley Rank on Small Abelian Groups ⋮ 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 ⋮ On groups of finite Morley rank with weakly embedded subgroups ⋮ Limoncello. ⋮ A characterisation of PS_p(4,K)

Cites Work

• On sharply n-transitive superstable groups
• Non-solvable groups of Morley rank 3
• Groups of finite Morley rank with strongly embedded subgroups
• Some model theory of simple algebraic groups over algebraically closed fields
• Groups of small Morley rank
• Generalized Fitting subgroup of a group of finite Morley rank
• Poly-separated and ω-stable nilpotent groups
• On the Schur-Zassenhaus theorem for groups of finite Morley rank
• A remark on differential algebraic groups.
• Группы и кольца, теория которых категорична
• Bad groups of finite Morley rank
• On central extensions of algebraic groups
• Schur-Zassenhaus theorem revisited
• A Hall Theorem for ω-Stable Groups
• On Solvable Groups of Finite Morley Rank
• On $ω_1$-categorical theories of abelian groups
• Introduction to Lie Algebras and Representation Theory
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