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A fast cyclic base change for permutation groups

Published: 01 August 1992 Publication History
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References

[1]
L. Babai, "Monte-Carlo Algorithms in Graph Isomorphism Testing", Universit6 de Montr6aI Tech. Report D.M.S. 79-10 (1979), Dep. Math. et. St, at.
[2]
L. Babai, G. Cooperman, L. Finkelstein, E.M. Luks, and A. Seress, "Fast, Monte Carlo Algorithms for Permutation Gloups", Proc. 23Id ACM STOC (1991), pp. 90-100.
[3]
L. Babai, G. Cooperman, L. Finkelsteln, and .~. Seress, "Nearly Linea,r "l-'ime AlgoIithms foi Permutation Gloups with ~ Small Base", Proc. of the 199i h)t.ernational Syn~posium on Symbolic and Algebraic Con~puration (tSSAC'91), Bonn, pp 200-2()9, July, 1991.
[4]
L. Bahai and E. Szemer6di, "On the Complexity of Matrix Group Problems I '" Proc. 25th IEEE FOCS (1984), Palm Beach, FL. pp. 229-2-t0.
[5]
C.A. Brown, L. Finkelsteil~, and P.W. Puidom, "A New Base Change Atgorit.hm fol Perlnnt.ation Groups", SIAM 1. C'omputtng 18 (t989), pp. 1037-1047.
[6]
C.A. Blown, L. Finkelstein, and P.\V. Purdom, ~Backtrack Searching in the PIesence of Symmetry", Proc. of the 6th International Conference on Algebraic Algorithn~s and Error Correcting Codes (AAECC-6, Rome. 1988), Springel Verlag Lecture Notes in Computer Sciertce, Vol. 357, pp 99-110
[7]
G. Butler and C. Lain, 'qsomorphtsm Testing of Combinatorial Objects", .1. of Symbolic (:omput.ation 1. (1~85), pp 363-as~.
[8]
J.} Caution, ~An Introductaon to the Group Theory Language, Ca.yley", iu C'omputational Grol~p Theoiy, edited by M.D. At.klnson, Aca.demlc PIess, 198i, pp. 145-18.t
[9]
H. Chet~o{{, "A Measure of As~lllI~toti( Efflcieltc3 for Tests of a Ilypot}~es}s Based o~ the Snn~ o{ Obsclvations", ~'~1sna/s of Math Statistics 23, 1952. pp,it)3- 507.
[10]
G. Cooperman and L. Finkelstein, "New Methods for Using Cayley Graphs in Interconnection Networks", Discrete Applied Mathematics, Special Issue on Interconnection Networks, in press.
[11]
G. Cooperman and L. Finkelstein, "A Strong Generating Test and Short Presentations for Permutation Groups", d. Symbolic Computation 12 (1991), pp. 475- 497.
[12]
G. Cooperman and L. Finketstein, "A Random Base Change Algorithm for Permutation Groups", Y. Symbolic Computation, under revision.
[13]
G. Cooperman, L. Finketstein and E. Luks, "Reduction of Group Constructions to Point Stabilizers", Proceedings of the International Symposium on Symbolic and Algebraic Computation (ISSAC 89), ACM Press, pp. 351-356.
[14]
G. Cooperman, L. Finkelstein and N. Sarawagi, "A Random Base Change Algorithm for Permutation Groups", Proc. of i990 International Symposium on Symbolic and Algebraic Computation, (ISSAC 90, Tokyo), ACM Press and Addison-Wesley (1990), pp. 161- 168.
[15]
M. Jerrum, "A Compact Representation for Permutation Groups", d. Algorithms 7 (1986), pp. 60-78.
[16]
C.W.H. Lam, "The Search for a Finite Projective Plane of Order t0", American Mathematical Monthly 98, (1991), pp. 305-318.
[17]
J. Leon, "On an Algorithm for Finding a Base and Stiong Generating Set for a Group Given by a Set of Generating Permutations", Math. Comp. 35 (t980), pp. 941-974.
[18]
J. Leon, "Computing Automorphism Groups of Combinatorial Objects", in Computa.tional Gro~p Theory, edited by M. D. Atkinson, Academic Press (1984), pp. 321-337.
[19]
C.C. Sims, "Computation with Permutation Groups", in Proc. Second Symposium on Symbolic and Algebraic Manipulation, edited by S.R Petrick, ACM Press, New York, 197t, pp. 23-28.

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cover image ACM Conferences
ISSAC '92: Papers from the international symposium on Symbolic and algebraic computation
August 1992
406 pages
ISBN:0897914899
DOI:10.1145/143242
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