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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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The cohomology of the groups of order $32$
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by David J. Rusin PDF
Math. Comp. 53 (1989), 359-385 Request permission

Abstract:

We have calculated the $\bmod \text {-}2$ cohomology rings of all the groups of 32 elements. This paper describes the methods of calculation; the computer routines used can be adapted to assist in the calculation of the modular cohomology rings of other finite groups. We also describe the results of the calculations; the data we have collected provide a substantial increase in the supply of completed calculations in group cohomology, and so we take this opportunity to compare known results and open conjectures.
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Additional Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Math. Comp. 53 (1989), 359-385
  • MSC: Primary 20J06
  • DOI: https://doi.org/10.1090/S0025-5718-1989-0968153-8
  • MathSciNet review: 968153