6533b7d4fe1ef96bd1263080

RESEARCH PRODUCT

Bruhat–Tits Trees and Modular Groups

Frédéric PaulinAnne Broise-alamichelJouni Parkkonen

subject

Background informationMathematics::Group TheoryPure mathematicsGeodesicbusiness.industryLink (geometry)Algebra over a fieldModular designbusinessQuotientMathematics

description

In this chapter, we give background information and preliminary results on the main link between the geometry and the algebra used for our arithmetic applications: the (discrete-time) geodesic ow on quotients of Bruhat{Tits trees by arithmetic lattices.

https://doi.org/10.1007/978-3-030-18315-8_15