-arithmetic spinor groups with the same finite quotients and distinct -cohomology
Holger Kammeyer
Karlsruhe Institute of Technology, GermanyRoman Sauer
Karlsruhe Institute of Technology, Germany
![$S$-arithmetic spinor groups with the same finite quotients and distinct $\ell^2$-cohomology cover](/_next/image?url=https%3A%2F%2Fcontent.preview.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-ggd-volume-14-issue-3.png&w=3840&q=90)
Abstract
In this note we refine examples by Aka from arithmetic to -arithmetic groups to show that the vanishing of the -th -Betti number is not a profinite invariant for all .
Cite this article
Holger Kammeyer, Roman Sauer, -arithmetic spinor groups with the same finite quotients and distinct -cohomology. Groups Geom. Dyn. 14 (2020), no. 3, pp. 857–869
DOI 10.4171/GGD/566