On the Schur-Zassenhaus theorem for groups of finite Morley rank

DOI10.2307/2275377zbMath0773.03025OpenAlexW2073053884MaRDI QIDQ4032671

Ali Nesin, Alexandre V. Borovik

Publication date: 1 April 1993

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2275377

zbMATH Keywords

complementsSchur-Zassenhaus theoremstable groupsfinite Morley rankHall normal subgroup

Mathematics Subject Classification ID

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

Related Items (14)

Tame minimal simple groups of finite Morley rank ⋮ Schur-Zassenhaus theorem revisited ⋮ Parabolic 2-local subgroups in groups of finite Morley rank of even type. ⋮ Simple \(L^*\)-groups of even type with strongly embedded subgroups. ⋮ Groups of Finite Morley Rank with Solvable Local Subgroups ⋮ Unnamed Item ⋮ Generalized Hall subgroups in soluble groups of finite Morley rank ⋮ Groups of finite Morley rank and even type with strongly closed Abelian subgroups ⋮ Groups of mixed type ⋮ Groups of mixed type ⋮ Groups of finite Morley rank of even type with a weakly embedded subgroup ⋮ Around unipotence in groups of finite Morley rank ⋮ On groups of finite Morley rank with weakly embedded subgroups ⋮ Abnormal subgroups in solvable groups of finite Morley rank

Cites Work

• Unnamed Item
• Unnamed Item
• Solvable groups of finite Morley rank
• Groups with the minimal condition on centralizers
• Totally categorical groups and rings
• Solvability of groups of odd order
• Groups of small Morley rank
• Fundamenta Mathematicae: An Examination of Its Founding and Significance

This page was built for publication: On the Schur-Zassenhaus theorem for groups of finite Morley rank