The mod 2 cohomology rings of congruence subgroups in the Bianchi groups

Abstract

We provide new tools for the calculation of the torsion in the cohomology of congruence subgroups in the Bianchi groups : An algorithm for finding particularly useful fundamental domains, and an analysis of the equivariant spectral sequence combined with torsion subcomplex reduction.\\\\\\\\\\With an appendix by Bui Anh Tuan and Sebastian Sch\"onnenbeck

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