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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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Conjugacy classes in finite permutation groups via homomorphic images
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by Alexander Hulpke PDF
Math. Comp. 69 (2000), 1633-1651 Request permission

Abstract:

The lifting of results from factor groups to the full group is a standard technique for solvable groups. This paper shows how to utilize this approach in the case of non-solvable normal subgroups to compute the conjugacy classes of a finite group.
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Additional Information
  • Alexander Hulpke
  • Affiliation: School of Mathematical and Computational Sciences, University of St. Andrews, The North Haugh, UK-St Andrews, Fife KY16 9SS, SCOTLAND
  • MR Author ID: 600556
  • ORCID: 0000-0002-5210-6283
  • Email: ahulpke@dcs.st-and.ac.uk
  • Received by editor(s): November 17, 1997
  • Received by editor(s) in revised form: November 17, 1998
  • Published electronically: May 24, 1999
  • Additional Notes: Supported by EPSRC Grant GL/L21013
  • © Copyright 2000 American Mathematical Society
  • Journal: Math. Comp. 69 (2000), 1633-1651
  • MSC (1991): Primary 20-04, 20B40, 68Q40
  • DOI: https://doi.org/10.1090/S0025-5718-99-01157-6
  • MathSciNet review: 1659847