291 citations
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4 papers · 1 filter
Connectivity Properties of Horospheres in Euclidean Buildings and Applications to Finiteness Properties of Discrete Groups
Kai-Uwe Bux, Kevin Wortman
Let G(O_S) be an S-arithmetic subgroup of a connected, absolutely almost simple linear algebraic group G over a global function field K. We show that the sum of local ranks of G de…
Abstract commensurators of braid groups
Christopher J. Leininger, Dan Margalit
Let B_n be the braid group on n strands, with n at least 4, and let Mod(S) be the extended mapping class group of the sphere with n+1 punctures. We show that the abstract commensur…
Injections of Artin groups
Robert W. Bell, Dan Margalit
We study those Artin groups which, modulo their centers, are finite index subgroups of the mapping class group of a sphere with at least 5 punctures. In particular, we show that an…
Limit groups are CAT(0)
Emina Alibegovic, Mladen Bestvina
We prove that every limit group acts geometrically on a CAT(0) space with the isolated flats property.