S-arithmetic spinor groups with the same finite quotients and distinct $\ell^2$-cohomology
Group Theory
2018-04-30 v1
Abstract
In this note we refine examples by Aka from arithmetic to S-arithmetic groups to show that the vanishing of the -th -Betti number is not a profinite invariant for all .
Keywords
Cite
@article{arxiv.1804.10604,
title = {S-arithmetic spinor groups with the same finite quotients and distinct $\ell^2$-cohomology},
author = {Holger Kammeyer and Roman Sauer},
journal= {arXiv preprint arXiv:1804.10604},
year = {2018}
}
Comments
10 pages