CIT groups of finite Morley rank. II

DOI10.1006/JABR.1994.1113zbMath0818.20031OpenAlexW2065673697MaRDI QIDQ1327037

Ali Nesin, Alexandre V. Borovik

Publication date: 14 August 1995

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

Full work available at URL: https://doi.org/10.1006/jabr.1994.1113

zbMATH Keywords

algebraic groupscentralizers of involutionsinfinite simple groupsgroups of finite rankFrobenius kernelfirst order theoryZassenhaus groupsdoubly transitive permutation groupsnormal 2-subgroupsCherlin-Zil'ber conjecture\(\omega\)-stable group of finite Morley rankCIT groupsinfinite CIT group of finite ranksplit \(BN\)-pairs

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) Groups with a (BN)-pair; buildings (20E42) Classification theory, stability, and related concepts in model theory (03C45) Multiply transitive infinite groups (20B22)

Related Items (4)

Pseudofinite groups as fixed points in simple groups of finite Morley rank ⋮ Small groups of finite Morley rank with a supertight automorphism ⋮ Structure theorems in tame expansions of o-minimal structures by a dense set ⋮ ω-STABILITY AND MORLEY RANK OF BILINEAR MAPS, RINGS AND NILPOTENT GROUPS

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