Some functional properties of the Bruhat-Tits building

By E. Landvogt. 2000

69 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

On finite group actions on reductive groups and buildings (2002, background): “The uniqueness of u follows from the fact that the fixer of b is L(b)(k) and L (b) ∩ Ru(P(b)) ={ 1}. �� (3.4) Proposition If the order of F is prime to p, then S(G) = S(H )F.”
Integral models of Shimura varieties with parahoric level structure (2015, background): “) By the main result of [45] there exists an equivariant toral map ι1 : B(G1,K ur 1 ) → B(U(V ′ 1/D, h1),K ur 1 ); in fact, this is obtained by taking Gal(K̃/K 1 )-fixed points of a Gal(K̃/K ur 1 )-equivariant toral map ι1(K̃) : B(G1, K̃)→ B(U(V ′ 1/D, h1), K̃).”
Isometry groups of non‐positively curved spaces: discrete subgroups (2009, methodology): “However, there is an alternative direct and elementary argument that avoids referring to [58] and goes as follows.”
Uniform independence in linear groups (2006, background): “[PR] Theorem 3.7) and Landvogt in the non-Archimedean (c.f. [ L ]):”