Proper Moufang sets with abelian root groups are special

DOI10.1090/S0894-0347-09-00631-6zbMath1248.20031OpenAlexW2080417128MaRDI QIDQ3079215

Yoav Segev

Publication date: 2 March 2011

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0894-0347-09-00631-6

zbMATH Keywords

Moufang setsroot groups2-transitive permutation groupsquadratic Jordan division algebrassplit BN-pairs

Mathematics Subject Classification ID

Buildings and the geometry of diagrams (51E24) Groups with a (BN)-pair; buildings (20E42) Division algebras and Jordan algebras (17C60)

Related Items (10)

On abstract ovals with Pascalian secant lines ⋮ Local Moufang sets and \(\mathsf{PSL}_2\) over a local ring ⋮ Cubic Action of a Rank one Group ⋮ Trees, contraction groups, and Moufang sets. ⋮ Moufang sets of finite Morley rank of odd type. ⋮ On groups of finite Morley rank with a split \(BN\)-pair of rank 1. ⋮ Toward the Abelian root groups conjecture for special Moufang sets. ⋮ On the identities defining a quadratic Jordan division algebra ⋮ Special Moufang Sets in Which the μ-Maps Corresponding to Elements of Finite Order are Involutions ⋮ FINITE ZASSENHAUS MOUFANG SETS WITH ROOT GROUPS OF EVEN ORDER

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• FINITE SPECIAL MOUFANG SETS OF ODD CHARACTERISTIC
• Identities in Moufang sets
• Special abelian Moufang sets of finite Morley rank
• Quadratic rank-one groups and quadratic Jordan division algebras
• On the action of the Hua subgroups in special Moufang sets
• Special Moufang sets, their root groups and their μ-maps

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