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The mod-2 Cohomology of the Bianchi Groups

Ethan Berkove
Transactions of the American Mathematical Society
Vol. 352, No. 10 (Oct., 2000), pp. 4585-4602
Stable URL: http://www.jstor.org/stable/221755
Page Count: 18
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
The mod-2 Cohomology of the Bianchi Groups
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Abstract

The Bianchi groups are a family of discrete subgroups of PSL2( 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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