Cosets, genericity, and the Weyl group.

DOI10.1016/J.JALGEBRA.2008.12.031zbMath1189.20035arXiv0801.2243OpenAlexW2129599173MaRDI QIDQ731906

Eric Jaligot

Publication date: 9 October 2009

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

Full work available at URL: https://arxiv.org/abs/0801.2243

zbMATH Keywords

Weyl groupsCarter subgroupsalgebraic groupsgroups of finite Morley rankconnected nilpotent subgroupsdecent torigeneric subsetsgenerous subsets

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Model-theoretic algebra (03C60) Simple groups (20E32) Classification theory, stability, and related concepts in model theory (03C45) Groups of finite Morley rank (20F11)

Related Items (4)

Involutive automorphisms of \(N^\circ_\circ\)-groups of finite Morley rank ⋮ Cartan subgroups of groups definable in o-minimal structures ⋮ Groups of Finite Morley Rank with Solvable Local Subgroups ⋮ Centralisateurs génériques

Cites Work

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• Non-solvable groups of Morley rank 3
• Tame minimal simple groups of finite Morley rank
• Involutions in groups of finite Morley rank of degenerate type.
• On analogies between algebraic groups and groups of finite Morley rank
• Groups of small Morley rank
• SEMISIMPLE TORSION IN GROUPS OF FINITE MORLEY RANK
• Generix never gives up
• Good tori in groups of finite Morley rank

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