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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 2024 MCQ for Mathematics of Computation is 1.78.

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The nonabelian simple groups $G$, $G<10^{6}$—minimal generating pairs
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by John McKay and Kiang Chuen Young PDF
Math. Comp. 33 (1979), 812-814 Request permission

Abstract:

Minimal (k, m, n) generating pairs and their associated presentations are defined for all nonabelian simple groups G, $|G| < {10^6}$, excepting the family ${\text {PSL}}(2,q)$. A complete set of minimal (2, m, n) generating permutations of minimal degree is tabulated for these G. The set is complete in the sense that any minimal generating pair for G will satisfy the same presentation as exactly one of the listed pairs.
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Additional Information
  • © Copyright 1979 American Mathematical Society
  • Journal: Math. Comp. 33 (1979), 812-814
  • MSC: Primary 20D05; Secondary 20F05
  • DOI: https://doi.org/10.1090/S0025-5718-1979-0521296-9
  • MathSciNet review: 521296