The integral cohomology of the Bianchi groups

Author:

Berkove Ethan

Abstract

We calculate the integral cohomology ring structure for various members of the Bianchi group family. The main tools we use are the Bockstein spectral sequence and a long exact sequence derived from Bass-Serre theory.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference16 articles.

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2. The mod-2 cohomology of the Bianchi groups;Berkove, Ethan;Trans. Amer. Math. Soc.,2000

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1. Accessing the cohomology of discrete groups above their virtual cohomological dimension;Journal of Algebra;2014-02

2. Arithmetic Aspects of Bianchi Groups;Contributions in Mathematical and Computational Sciences;2014

3. The integral homology of PSL2 of imaginary quadratic integers with nontrivial class group;Journal of Pure and Applied Algebra;2011-06

4. Hyperbolic Tessellations Associated to Bianchi Groups;Lecture Notes in Computer Science;2010

5. On the Eisenstein ideal for imaginary quadratic fields;Compositio Mathematica;2009-04-15

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