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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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The integral cohomology of the Bianchi groups
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by Ethan Berkove PDF
Trans. Amer. Math. Soc. 358 (2006), 1033-1049 Request permission

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.
References
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Additional Information
  • Ethan Berkove
  • Affiliation: Department of Mathematics, Lafayette College, Easton, Pennsylvania 18042
  • Email: berkovee@lafayette.edu
  • Received by editor(s): November 13, 2002
  • Received by editor(s) in revised form: April 1, 2004
  • Published electronically: April 13, 2005
  • © Copyright 2005 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 358 (2006), 1033-1049
  • MSC (2000): Primary 20J06, 11F75, 22E40
  • DOI: https://doi.org/10.1090/S0002-9947-05-03700-1
  • MathSciNet review: 2187644