A course on Moufang sets.
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Publication:1959040
zbMath1233.20028MaRDI QIDQ1959040
Publication date: 1 October 2010
Published in: Innovations in Incidence Geometry (Search for Journal in Brave)
algebraic groupsJordan algebrasbuildingsMoufang setsBN-pairsrank one groupsroot groupsdoubly transitive permutation groups
Linear algebraic groups over arbitrary fields (20G15) 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 (18)
On abstract ovals with Pascalian secant lines ⋮ Special Moufang sets coming from quadratic Jordan division algebras ⋮ Local Moufang sets and \(\mathsf{PSL}_2\) over a local ring ⋮ Cubic Action of a Rank one Group ⋮ Tits endomorphisms and buildings of type F_4 ⋮ Commuting $U$-operators in Jordan algebras ⋮ Rhizospheres in spherical buildings ⋮ Trees, contraction groups, and Moufang sets. ⋮ Albert algebras and the Tits-Weiss conjecture ⋮ Moufang sets arising from polarities of Moufang planes over octonion division algebras ⋮ Moufang Sets and Structurable Division Algebras ⋮ The sphericity of the Phan geometries of type $B_n$ and $C_n$ and the Phan-type theorem of type $F_4$ ⋮ Moufang sets of finite Morley rank of odd type. ⋮ Toward the Abelian root groups conjecture for special Moufang sets. ⋮ On the identities defining a quadratic Jordan division algebra ⋮ Proper Moufang sets with abelian root groups are special ⋮ Automorphisms of Albert algebras and a conjecture of Tits and Weiss II ⋮ Buildings and s-Transitive Graphs
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