Identities in Moufang sets

DOI10.1090/S0002-9947-08-04414-0zbMath1179.20030OpenAlexW1967480562MaRDI QIDQ3532545

Yoav Segev, Tom De Medts

Publication date: 28 October 2008

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-08-04414-0

zbMATH Keywords

identitiesMoufang setsHua mapsquadratic Jordan division algebrassplit BN-pairsdoubly transitive permutation groupsspecial rank one groups

Mathematics Subject Classification ID

Buildings and the geometry of diagrams (51E24) Groups with a (BN)-pair; buildings (20E42) Multiply transitive infinite groups (20B22) Division algebras and Jordan algebras (17C60) Associated groups, automorphisms of Jordan algebras (17C30)

Related Items (14)

Special Moufang sets coming from quadratic Jordan division algebras ⋮ Algebraic structures related to universal covers of special rank one groups. ⋮ Cubic Action of a Rank one Group ⋮ Local Moufang sets and local Jordan pairs ⋮ Special Moufang sets with Abelian Hua subgroup. ⋮ 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 action of the Hua subgroups in special Moufang sets ⋮ On the identities defining a quadratic Jordan division algebra ⋮ Proper Moufang sets with abelian root groups are special ⋮ Special Moufang Sets in Which the μ-Maps Corresponding to Elements of Finite Order are Involutions ⋮ Almost regular involutory automorphisms of uniquely $2$-divisible groups ⋮ Special abelian Moufang sets of finite Morley rank in characteristic 2 ⋮ FINITE ZASSENHAUS MOUFANG SETS WITH ROOT GROUPS OF EVEN ORDER

Cites Work

• A taste of Jordan algebras
• Moufang sets and Jordan division algebras
• On the action of the Hua subgroups in special Moufang sets
• A GENERAL THEORY OF JORDAN RINGS
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