Holger Kammeyer

activity

20122026

most citedThe Farrell-Jones conjecture for arbitrary lattices in virtually connected Lie groups

28 citations · 49 across the 17 of their papers we have counts for

collaborators

Showing 2018 · math.GRShow all

3 papers · 2 filters

math.GR2018

S-arithmetic spinor groups with the same finite quotients and distinct $ℓ^{2}$ -cohomology

Holger Kammeyer, Roman Sauer

In this note we refine examples by Aka from arithmetic to S-arithmetic groups to show that the vanishing of the $i$ -th $ℓ^{2}$ -Betti number is not a profinite invariant for all $i…

math.GR2018

A remark on torsion growth in homology and volume of 3-manifolds

Holger Kammeyer

We show that Lück's conjecture on torsion growth in homology implies that two 3-manifolds have equal volume if the fundamental groups have the same set of finite quotients.

math.GR2018

Profinite commensurability of S-arithmetic groups

Holger Kammeyer

Given an S-arithmetic group, we ask how much information on the ambient algebraic group, number field of definition, and set of places S is encoded in the commensurability class of…

S-arithmetic spinor groups with the same finite quotients and distinct ℓ2-cohomology

A remark on torsion growth in homology and volume of 3-manifolds

Profinite commensurability of S-arithmetic groups

S-arithmetic spinor groups with the same finite quotients and distinct $ℓ^{2}$ -cohomology