Nilpotent complements and Carter subgroups in stable \({\mathfrak R}\)

DOI10.1007/BF01275468zbMath0813.03022MaRDI QIDQ1322452

Frank O. Wagner

Publication date: 5 May 1994

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

zbMATH Keywords

stable theorynilpotencyCarter subgroupFrattini-free componentstable \({\mathcal R}\)-group

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Model-theoretic algebra (03C60) Nilpotent groups (20F18) Classification theory, stability, and related concepts in model theory (03C45)

Related Items

Tame minimal simple groups of finite Morley rank ⋮ The Bender method in groups of finite Morley rank. ⋮ Structure of linear groups definable in a field of finite Morley rank. ⋮ Sous-groupes de Carter dans les groupes de rang de Morley fini ⋮ On Weyl groups in minimal simple groups of finite Morley rank. ⋮ Structure of Borel subgroups in simple groups of finite Morley rank. ⋮ Dimensional quasi-Frobenius groups ⋮ Minimal connected simple groups of finite Morley rank with strongly embedded subgroups. ⋮ Unnamed Item ⋮ Linear representations of soluble groups of finite Morley rank ⋮ Generalized Hall subgroups in soluble groups of finite Morley rank ⋮ Groups of finite Morley rank of even type with a weakly embedded subgroup ⋮ Around unipotence in groups of finite Morley rank ⋮ Carter subgroups in tame groups of finite Morley rank ⋮ CONJUGACY OF CARTER SUBGROUPS IN GROUPS OF FINITE MORLEY RANK ⋮ Abnormal subgroups in solvable groups of finite Morley rank

Cites Work

• Solvable groups of finite Morley rank
• More on \(\mathfrak R\)
• Stable groups, mostly of finite exponent
• Small stable groups and generics
• On Solvable Groups of Finite Morley Rank