Involutive automorphisms of \(N^\circ_\circ\)-groups of finite Morley rank

DOI10.1515/CRELLE.2010.051zbMath1364.20017arXiv1504.04593OpenAlexW3100003437MaRDI QIDQ318322

Adrien Deloro, Eric Jaligot

Publication date: 5 October 2016

Published in: Pacific Journal of Mathematics, Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.04593

zbMATH Keywords

groups of even typegroups of finite Morley rankCherlin-Zilber conjecture\(N\)-groupsgroups of odd typesolvable local subgroups

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) General structure theorems for groups (20E34) Generalizations of solvable and nilpotent groups (20F19) Automorphisms of infinite groups (20E36) Local properties of groups (20E25) Classification theory, stability, and related concepts in model theory (03C45) Groups of finite Morley rank (20F11)

Related Items (7)

Dimensional quasi-Frobenius groups ⋮ Small groups of finite Morley rank with a supertight automorphism ⋮ Groups of Finite Morley Rank with Solvable Local Subgroups ⋮ The geometry of involutions in ranked groups with a<scp>ti</scp>‐subgroup ⋮ Simple Lie rings of Morley rank 4 (The Spanish Inquisition) ⋮ Groups of finite Morley rank with a generically sharply multiply transitive action ⋮ SIMPLE GROUPS OF MORLEY RANK 5 ARE BAD

Cites Work

• Cosets, genericity, and the Weyl group.
• On sharply n-transitive superstable groups
• On groups of finite Morley rank with weakly embedded subgroups
• Tame minimal simple groups of finite Morley rank
• Groups of finite Morley rank with strongly embedded subgroups
• Minimal connected simple groups of finite Morley rank with strongly embedded subgroups.
• Minimal connected simple algebraic groups of odd type.
• Non-algebraic minimal connected simple groups of odd type.
• Full Frobenius Groups of Finite Morley Rank and the Feit-Thompson Theorem
• Steinberg's torsion theorem in the context of groups of finite Morley rank
• Tores et p-groupes
• On central extensions of algebraic groups
• On Solvable Groups of Finite Morley Rank
• Nonsolvable finite groups all of whose local subgroups are solvable
• The existence of Carter subgroups in groups of finite Morley rank
• Groups of mixed type
• Groups of mixed type

This page was built for publication: Involutive automorphisms of \(N^\circ_\circ\)-groups of finite Morley rank