A generic identification theorem for \(L^*\)-groups of finite Morley rank.

DOI10.1016/j.jalgebra.2007.10.012zbMath1146.20027OpenAlexW4212983453MaRDI QIDQ2470391

Jeffrey Burdges, Ayşe Berkman, Gregory L. Cherlin, Alexandre V. Borovik

Publication date: 14 February 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.10.012

zbMATH Keywords

algebraic groupsgroups of even typegroups of finite Morley rankCherlin-Zilber conjecturegeneric recognition

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)

Related Items (2)

Groups of finite Morley rank with a generically sharply multiply transitive action ⋮ Signalizers and balance in groups of finite Morley rank.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• BN-pairs and finite groups with parabolic-type subgroups
• On groups of finite Morley rank with weakly embedded subgroups
• Simple groups of finite Morley rank and Tits buildings
• Pushing up and \(C(G,T)\) in groups of finite Morley rank of even type
• On groups of finite Morley rank of even type
• An identification theorem for groups of finite Morley rank and even type.
• Coxeter matroids. With illustrations by Anna Borovik
• Parabolic 2-local subgroups in groups of finite Morley rank of even type.
• Simple \(L^*\)-groups of even type with strongly embedded subgroups.
• A signalizer functor theorem for groups of finite Morley rank.
• Simple \(L^*\)-groups of even type with weakly embedded subgroups.
• The Curtis-Tits-presentation.
• Remarks on A theorem on special linear groups
• Limoncello.
• Finite complex reflection groups
• On central extensions of algebraic groups
• A GENERIC IDENTIFICATION THEOREM FOR GROUPS OF FINITE MORLEY RANK
• Finite Unitary Reflection Groups
• Groups of finite Morley rank and even type with strongly closed Abelian subgroups
• Groups of finite Morley rank of even type with a weakly embedded subgroup
• The classical involution theorem for groups of finite Morley rank

This page was built for publication: A generic identification theorem for \(L^*\)-groups of finite Morley rank.