A compact representation for permutation groups

@article{Jerrum1982ACR,
  title={A compact representation for permutation groups},
  author={M. Jerrum},
  journal={23rd Annual Symposium on Foundations of Computer Science (sfcs 1982)},
  year={1982},
  pages={126-133}
}
  • M. Jerrum
  • Published 1982
  • Mathematics, Computer Science
  • 23rd Annual Symposium on Foundations of Computer Science (sfcs 1982)
  • An O(n2) space representation for permutation groups of degree n is presented. The representation can be constructed in time O(n5), and supports fast membership testing. Applications of the representation to the generation of systems of coset representatives, and of complete block systems, are discussed. 
    71 Citations

    Topics from this paper

    Generating Permutation Groups
    • 3
    The parallel complexity of the abelian permutation group membership problem
    • P. McKenzie, S. Cook
    • Mathematics, Computer Science
    • 24th Annual Symposium on Foundations of Computer Science (sfcs 1983)
    • 1983
    • 25
    Fast management of permutation groups
    • L. Babai, E. Luks, Ákos Seress
    • Mathematics, Computer Science
    • [Proceedings 1988] 29th Annual Symposium on Foundations of Computer Science
    • 1988
    • 37
    • PDF
    Efficient representation of perm groups
    • D. Knuth
    • Mathematics, Computer Science
    • Comb.
    • 1991
    • 41
    • PDF
    Partitions and permutations
    • P. Cameron
    • Computer Science, Mathematics
    • Discret. Math.
    • 2005
    • 3
    • PDF
    Combinatorial Tools for Computational Group Theory
    • 29
    • PDF
    Fast Management of Permutation Groups I
    • 31
    • PDF
    Fast Group Membership Using a Strong Generating Test for Permutation Groups
    • 9
    • Highly Influenced

    References

    SHOWING 1-10 OF 18 REFERENCES
    A Compact Representation for Permutation Groups
    • M. Jerrum
    • Mathematics, Computer Science
    • FOCS
    • 1982
    • 34
    Polynomial-time algorithms for permutation groups
    • 284
    • PDF
    Generating Coset Representatives for Permutation Groups
    • L. Allison
    • Mathematics, Computer Science
    • J. Algorithms
    • 1981
    • 5
    Lexicographic permutations with restrictions
    • D. Knuth
    • Computer Science, Mathematics
    • Discret. Appl. Math.
    • 1979
    • 7
    Isomorphism of graphs of bounded valence can be tested in polynomial time
    • E. Luks
    • Computer Science, Mathematics
    • 21st Annual Symposium on Foundations of Computer Science (sfcs 1980)
    • 1980
    • 514
    • PDF
    Isomorphism of graphs with bounded eigenvalue multiplicity
    • 170
    Group-Theoretic Algorithms and Graph Isomorphism
    • C. Hoffmann
    • Mathematics, Computer Science
    • Lecture Notes in Computer Science
    • 1982
    • 231
    • PDF
    The Transitive Reduction of a Directed Graph
    • 647
    • PDF
    Data Structures and Algorithms
    • 2,134