Minimal connected simple algebraic groups of odd type.

DOI10.1016/j.jalgebra.2007.02.009zbMath1146.20028OpenAlexW4229735002MaRDI QIDQ2466951

Adrien Deloro

Publication date: 16 January 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.02.009

zbMATH Keywords

groups of finite Morley rankCherlin-Zilber conjecturerecognition theoremminimal simple groupsgroups of odd type

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 (8)

Involutive automorphisms of \(N^\circ_\circ\)-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. ⋮ Small groups of finite Morley rank with a supertight automorphism ⋮ Groups of Finite Morley Rank with Solvable Local Subgroups ⋮ Non-algebraic minimal connected simple groups of odd type. ⋮ Actions of Groups of Finite Morley Rank on Small Abelian Groups ⋮ GROUPS OF MORLEY RANK 4

Cites Work

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• A signalizer functor theorem for groups of finite Morley rank.
• Tame minimal simple groups of finite Morley rank
• The Bender method in groups of finite Morley rank.
• Minimal connected simple groups of finite Morley rank with strongly embedded subgroups.
• Involutions in groups of finite Morley rank of degenerate type.
• Fields of finite Morley rank
• On CN-Groups of Finite Morley Rank
• Die böse Farbe
• A GENERATION THEOREM FOR GROUPS OF FINITE MORLEY RANK

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