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Computing in quotient groups
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Source Annual ACM Symposium on Theory of Computing archive
Proceedings of the twenty-second annual ACM symposium on Theory of computing table of contents
Baltimore, Maryland, United States
Pages: 524 - 534  
Year of Publication: 1990
ISBN:0-89791-361-2
Authors
W. M. Kantor  University of Oregon
E. M. Luks  University of Oregon
Sponsor
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 4,   Downloads (12 Months): 31,   Citation Count: 6
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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
[Ba1] L. Babai, Monte Carlo algorithms for graph isomorphism testing, Tech. Rep. 79-10, Dép. Math. et Stat., Univ. de Montréal 1979.
 
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[Ba3] L. Babai, A Las Vegas-NC algorithm for isomorphism of graphs with bounded multiplicity of eigenvalues , Proc. 27th IEEE FOCS, 1986, 303-312.
 
4
[Ba4] L. Babai, On the length of subgroup chains in the symmetric group, Comm. in Alg. 14 (1986), 1729- 1736.
 
5
[BCP] L. Babai, P. Cameron and P.J. Pálfy, On the order of primitive groups with restricted nonabelian composition factors, J. Algebra 79 (1982), 161-168.
 
6
[BK] L. Babai and L. Ku¿era, Canonical labelling of graphs in linear average time, Proc. 20th IEEE FOCS, 1979, 39-46.
 
7
[BKL] L. Babai, W.M. Kantor and E.M. Luks, Computational complexity and the classification of finite simple groups, Proc. 24th IEEE FOCS, 1983, 162- 171.
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[BLS2] L. Babai, E.M. Luks and Á. Seress, Fast management of permutation groups, Proc. 29th IEEE FOCS, 1988, 272-282.
 
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[BS] L. Babai and E. Szemerédi, On the complexity of matrix group problems, Proc. 24th IEEE FOCS, 1984, 229-240.
 
13
[Ca] J.J. Cannon, An introduction to the group theory language Cayley, in Computational Group Theory (ed. M.D. Atkinson), Academic Press 1984, 145- 183.
14
 
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[FHL] M.L. Furst, J. Hopcroft and E.M. Luks, Polynomial time algorithms for permutation groups, Proc. 21th IEEE FOCS, 1980, 36-41.
16
 
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[GMW] O. Goldreich, S. Micali and A. Wigderson, Proofs that yield nothing but their validity and a methodology of cryptographic protocol design, Proc. 27th IEEE FOCS, 1986, 174-187.
 
18
[Go] D. Gorenstein, Finite Groups. Harper and Row, New York 1968.
 
19
[Ha] M. Hall, Jr., The Theory of Groups, Macmillan, New York 1959.
 
20
[Ho] C.M. Hoffmann, Group Theoretic Algorithms and Graph Isomorphism, Lect. Notes in Comp. Sci. 136, Springer 1982.
 
21
[Ka1] W.M. Kantor, Polynomial-time algorithms for finding elements of prime order and Sylow subgroups, J. Algorithms 6 (1985) 478-514.
 
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[Ka2] W.M. Kantor, Sylow's theorem in polynomial time, J. Comp. Syst. Sci. 30 (1985) 359-394.
 
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[KL] W.M. Kantor and E.M. Luks, Algorithms for quotients of permutation groups, in preparation.
 
25
[Ku] L. Ku¿era, Canonical labeling of regular graphs in linear average time, Proc. 28th IEEE FOCS 1987, 271-279.
 
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[Le] J.S. Leon, On an algorithm for finding a base and strong generating set for a group given by generating permutations, Math. Comp. 35 (1980), 941-974.
 
28
[Lu1] E.M. Luks, Isomorphism of graphs of bounded valence can be tested in polynomial time, J. Comp. Syst. Sci. 25 (1982), 42-65.
 
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[McK] B, McKay, nauty User's Guide (version 1.2), Tech. Rep. TR-CS-87-03, Dept. Comp. Sci., Austral. Nat. Univ. 1987.
 
31
[Mi1] G.L. Miller, Isomorphism of k-contractible graphs, a generalization of bounded valence and bounded genus, Inform. and Control 56, 1983, 1-20.
 
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[Mi2] G.L. Miller, Isomorphism of graphs which are pairwise k-separable, Inform. and Control 56, 1983, 21- 33.
 
33
[Ne] P.M. Neumann, Some algorithms for computing with finite permutation groups, Proc. of Groups-St. Andrews 1985 (Eds. E.F. Robertson and C.M. Campbell), London Math. Soc. Lect. Note 121, Cambridge U. Press 1987, 59-92.
 
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[Si] C.C. Sims, Some group-theoretic algorithms, Springer Lect. Notes in Math. 697 (1978), 108-124.
 
36
[Wi] H. Wielandt, Finite Permutation Groups, Acad. Press, N.Y. 1964.


Collaborative Colleagues:
W. M. Kantor: colleagues
E. M. Luks: colleagues