Structure of linear groups definable in a field of finite Morley rank.

DOI10.1016/J.JALGEBRA.2004.07.017zbMath1070.20056OpenAlexW2093794058MaRDI QIDQ1887486

Yerulan Mustafin

Publication date: 26 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.07.017

zbMATH Keywords

Carter subgroupsgroups of finite Morley rankunipotent groupstoriBorel subgroupssimple linear groupssemi-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) Model theory of fields (12L12)

Related Items (4)

RANK 3 BINGO ⋮ The geometry of involutions in ranked groups with a<scp>ti</scp>‐subgroup ⋮ Die böse Farbe ⋮ Pseudo-tori and subtame groups of finite Morley rank

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Superstable groups
• Nilpotent complements and Carter subgroups in stable \({\mathfrak R}\)
• Simple \(L^*\)-groups of even type with strongly embedded subgroups.
• Abnormal subgroups in solvable groups of finite Morley rank
• Tame minimal simple groups of finite Morley rank
• Fields of finite Morley rank
• Generalized Fitting subgroup of a group of finite Morley rank
• Quelques modestes remarques a propos d'une conséquence inattendue d'un résultat surprenant de monsieur frank olaf wagner
• L'égalité au cube
• BAD FIELDS IN POSITIVE CHARACTERISTIC
• A Hall Theorem for ω-Stable Groups
• Primitive Permutation Groups of Finite Morley Rank
• On $ω_1$-categorical theories of fields
• On $ω_1$-categorical theories of abelian groups
• Superstable fields and groups

This page was built for publication: Structure of linear groups definable in a field of finite Morley rank.