On Weyl groups in minimal simple groups of finite Morley rank.

DOI10.1007/s11856-012-0185-yzbMath1298.20047OpenAlexW2083736538MaRDI QIDQ375788

Jeffrey Burdges, Frécon, Olivier, Altınel, Tuna

Publication date: 31 October 2013

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-012-0185-y

zbMATH Keywords

Weyl groupsCarter subgroupsBorel subgroupsminimal simple groups of finite Morley rankself-normalizing subgroups

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 (2)

Structure of Borel subgroups in simple groups of finite Morley rank. ⋮ Dimensional quasi-Frobenius groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weyl groups of small groups of finite Morley rank.
• Nilpotent complements and Carter subgroups in stable \({\mathfrak R}\)
• Simple \(L^*\)-groups of even type with strongly embedded subgroups.
• A signalizer functor theorem for groups of finite Morley rank.
• Abnormal subgroups in solvable 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.
• Non-algebraic minimal connected simple groups of odd type.
• Full Frobenius Groups of Finite Morley Rank and the Feit-Thompson Theorem
• CONJUGACY OF CARTER SUBGROUPS IN GROUPS OF FINITE MORLEY RANK
• On analogies between algebraic groups and groups of finite Morley rank
• Pseudo-tori and subtame groups of finite Morley rank
• Poly-separated and ω-stable nilpotent groups
• Minimale Gruppen
• SEMISIMPLE TORSION IN GROUPS OF FINITE MORLEY RANK
• Around unipotence 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
• Generix never gives up
• On $ω_1$-categorical theories of fields
• On $ω_1$-categorical theories of abelian groups
• Good tori in groups of finite Morley rank
• The existence of Carter subgroups in groups of finite Morley rank

This page was built for publication: On Weyl groups in minimal simple groups of finite Morley rank.