11 citations · 24 across the 5 of their papers we have counts for
5 papers · 1 filter
Kac-Moody groups as discrete groups
Bertrand Remy
This survey paper presents the discrete group viewpoint on Kac-Moody groups. Over finite fields, the latter groups are finitely generated; they act on new buildings enjoying remark…
Commensurators of some non-uniform tree lattices and Moufang twin trees
Peter Abramenko, Bertrand Remy
Sh. Mozes showed that the commensurator of the lattice is dense in the full automorphism group of the Bruhat-Tits tree of valency $p+…
Topological simplicity, commensurator super-rigidity and non-linearities of Kac-Moody groups
Bertrand Remy, Patrick Bonvin
We provide new arguments to see topological Kac-Moody groups as generalized semisimple groups over local fields: they are products of topologically simple groups and their Iwahori…
Kac-Moody groups: split and relative theories. Lattices
Bertrand Remy
In this survey article, we recall some facts about split Kac-Moody groups as defined by J. Tits, describe their main properties and then propose an analogue of Borel-Tits theory fo…
Topological groups of Kac-Moody type, Fuchsian twinnings and their lattices
Bertrand Remy, Mark Ronan
This paper deals with a class of totally disconnected groups acting on buildings, among which are certain Kac-Moody groups. The apartments of our buildings are hyperbolic planes ti…