The Mod-2 cohomology of the Bianchi groups

Berkove, Ethan

doi:10.1090/S0002-9947-00-02505-8

The Mod-2 cohomology of the Bianchi groups
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by Ethan Berkove

Trans. Amer. Math. Soc. 352 (2000), 4585-4602

DOI: https://doi.org/10.1090/S0002-9947-00-02505-8

Published electronically: April 21, 2000

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Abstract:

The Bianchi groups are a family of discrete subgroups of $PSL_2(\mathbb C)$ which have group theoretic descriptions as amalgamated products and HNN extensions. Using Bass-Serre theory, we show how the cohomology of these two constructions relates to the cohomology of their pieces. We then apply these results to calculate the mod-2 cohomology ring for various Bianchi groups.

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