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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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Computing in permutation and matrix groups. I. Normal closure, commutator subgroups, series
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by Gregory Butler and John J. Cannon PDF
Math. Comp. 39 (1982), 663-670 Request permission


This paper is the first in a series which discusses computation in permutation and matrix groups of very large order. The fundamental concepts are defined, and some algorithms which perform elementary operations are presented. Algorithms to compute normal closures, commutator subgroups, derived series, lower central series, and upper central series are presented.
    Gregory Butler, "The Schreier algorithm for matrix groups," SYMSAC’ 76 (Proc. 1976 A. C. M. Sympos. on Symbolic and Algebraic Computation, Yorktown Heights, N. Y., 1976), R. D. Jenks (ed.), A. C. M., New York, 1976, pp. 167-170. Gregory Butler, Computational Approaches to Certain Problems in the Theory of Finite Groups, Ph. D. Thesis, University of Sydney, 1979.
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Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Math. Comp. 39 (1982), 663-670
  • MSC: Primary 20-04; Secondary 20F14, 20G40
  • DOI:
  • MathSciNet review: 669658