The Mod-2 cohomology of the Bianchi groups-Reference-Cited by-同舟云学术

The Mod-2 cohomology of the Bianchi groups

Published:2000-04-21 Issue:10 Volume:352 Page:4585-4602
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Berkove Ethan

Abstract

The Bianchi groups are a family of discrete subgroups of P S L 2 ( C ) 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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2000-352-10/S0002-9947-00-02505-8/S0002-9947-00-02505-8.pdf

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