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Journal Articles Journal of Algebraic Combinatorics Year : 2019

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 Schönnenbeck
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Dates and versions

hal-01565065 , version 1 (19-07-2017)
hal-01565065 , version 2 (13-10-2018)
hal-01565065 , version 3 (12-10-2019)

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Ethan Berkove, Grant S Lakeland, Alexander D. Rahm, Anh Tuan Bui, Sebastian Schönnenbeck. The mod 2 cohomology rings of congruence subgroups in the Bianchi groups. Journal of Algebraic Combinatorics, 2019, ⟨10.1007/s10801-019-00912-8⟩. ⟨hal-01565065v3⟩

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