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Complexity of the Schreier-Sims method

  • Permutation Groups
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Fundamental Algorithms for Permutation Groups

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 559))

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Abstract

We have presented some variations of the Schreier-Sims method which are simple enough to analyse. They all store actual permutations for the coset representatives. Jerrum's algorithm gives an O (¦Ω¦5) time complexity and an O (¦Ω¦2) space requirement.

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Gregory Butler

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© 1991 Springer-Verlag Berlin Heidelberg

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(1991). Complexity of the Schreier-Sims method. In: Butler, G. (eds) Fundamental Algorithms for Permutation Groups. Lecture Notes in Computer Science, vol 559. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54955-2_33

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  • DOI: https://doi.org/10.1007/3-540-54955-2_33

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54955-0

  • Online ISBN: 978-3-540-46607-9

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