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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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Computation of Pólya polynomials of primitive permutation groups
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by Rudolf Land PDF
Math. Comp. 36 (1981), 267-278 Request permission

Abstract:

An almost complete list of Pólya polynomials of all primitive permutation groups up to degree 20 has been computed. The number-theoretical interpretation of Pólya polynomials and van der Waerden’s test make this a good tool to find safe conjectures for determining the group of an equation. This work was encouraged and supported by Professor W. Jehne, Universität zu Köln.
References
  • E. Artin, Über die Zetafunktionen gewisser algebraischer Zahlkörper, Math. Ann. 89 (1923), no. 1-2, 147–156 (German). MR 1512140, DOI 10.1007/BF01448095
  • N. G. de Bruijn, "Pólya’s Abzähl-Theorie: Muster für Graphen und chemische Verbindungen," Selecta Mathematica III (Heidelberger Taschenbücher), v. 86, Springer-Verlag, Heidelberg, 1971, pp. 1-26. J. J. Cannon, A simple language for running group jobs, Tech. Rep., Dept. Pure Math., Univ. of Sydney, 1975.
  • A. Hurwitz, Über Beziehungen zwischen den Primidealen eines algebraischen Körpers und den Substitutionen seiner Gruppe, Math. Z. 25 (1926), no. 1, 661–675 (German). MR 1544832, DOI 10.1007/BF01283860
  • Charles C. Sims, Computational methods in the study of permutation groups, Computational Problems in Abstract Algebra (Proc. Conf., Oxford, 1967) Pergamon, Oxford, 1970, pp. 169–183. MR 0257203
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Math. Comp. 36 (1981), 267-278
  • MSC: Primary 20B99; Secondary 12F10, 20-04
  • DOI: https://doi.org/10.1090/S0025-5718-1981-0595061-X
  • MathSciNet review: 595061