Profinite invariants of arithmetic groups

We prove that the sign of the Euler characteristic of arithmetic groups with the congruence subgroup property is determined by the profinite completion. In contrast, we construct examples showing that this is not true for the Euler characteristic itself and that the sign of the Euler characteristic...

Full description

Bibliographic Details
Main Authors: Holger Kammeyer, Steffen Kionke, Jean Raimbault, Roman Sauer
Format: Article
Language:English
Published: Cambridge University Press 2020-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509420000432/type/journal_article