On the action of the Hua subgroups in special Moufang sets

DOI10.1017/S030500410700062XzbMath1141.20023MaRDI QIDQ5450703

Yoav Segev, Richard M. Weiss

Publication date: 13 March 2008

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

buildingsroot groupsdoubly transitive permutation groupsHua subgroupsspecial Moufang sets

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generalized quadrangles and generalized polygons in finite geometry (51E12) Buildings and the geometry of diagrams (51E24) Groups with a (BN)-pair; buildings (20E42) Multiply transitive infinite groups (20B22) Associated groups, automorphisms of Jordan algebras (17C30)

Related Items

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, Trees, contraction groups, and Moufang sets., Identities in 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., 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

Cites Work

• Solvability of groups of odd order
• Finite groups of even order in which Sylow 2-groups are independent
• Identities in Moufang sets