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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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Integral cohomology and detection of $w$-basic 2-groups
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by Kimberly Pearson PDF
Math. Comp. 65 (1996), 291-306 Request permission

Abstract:

In this paper we compute the cohomology $H^*(G;Z^w)$ of all $w$-basic 2-groups $(G,w)$ with integral coefficients twisted by the orientation character $w$. We also calculate appropriate restiction maps and thus prove that the cohomology of any $w$-basic group is detected by subgroups isomorphic to one of five types, and we provide a sample application of this main theorem.
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Additional Information
  • Kimberly Pearson
  • Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405
  • Email: klpearso@ucs.indiana.edu
  • Received by editor(s): November 17, 1993
  • Received by editor(s) in revised form: February 11, 1995
  • © Copyright 1996 American Mathematical Society
  • Journal: Math. Comp. 65 (1996), 291-306
  • MSC (1991): Primary 20J06
  • DOI: https://doi.org/10.1090/S0025-5718-96-00679-5
  • MathSciNet review: 1322893