|
|
||||
Pages: 392 - 399 Series-Proceeding-Article
Year of Publication: 1997
|
|
||||
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 BOSMA, \V., AND CANNON, J. Structural computation in finite permutation groups. CWI Quarterly 5, 2 (1992), 127.--160.
2 BOSMA. W~., AND CANNON, J. Handbook of MAGMA functions. School of Mathematics and Statistics, University of Sydney, 1996.
3 BUTLEn, G. Computational Approaches to Certain Problems Zn the Theory of Fimte Groups. PAD thesis, University of Sydney, Sydney, 1979.
4 Greg Butler, An inductive schema for computing conjugacy classes in permutation groups
5 BUTLER, G. Computing the conjugacy classes of elements of a finite group. In Groups '93 Galway/St Andrews, Vol. i, Galway 1993 (Cambridge, 1995), C. M. Campbell, T. C. Hurley, E. F. Robertson, S. J. "robin, and J. J. Ward, Eds., vol. 211 of LMS Lecture Notes Series, Cambridge University Press, pp. 80-112.
6 CAMERON, P. J. Finite permutation groups and finite simple groups. Bull. London. Math. Soc. 13 (1981), 1-22.
8 CONWAY, Z. H., CURTIS, R. T., NORTON, S, P., PARKER, R. A.. AND v~VILSON, R. A. Atlas of finite groups. Clarendon Press, Oxford, 1985.
9 DIXON, J. D., AND MORTIMER, B. Permutation groups. Springer, New York, 1996.
10 EASDOWN, D., AND PRAEGEn, C. E. Minimal faithful permutation representations. Bull. Austral. Math. Soc. 38 (1988), 207-.-220.
11 FELSCH, V., AND NEUBi)SER, J. An algorithm for the computation of conjugacy classes and centralizers in p-groups. In Symbolic and algebraic computation, EUROSAM '79, Marseille 1979 (Berlin, 1979), E. W. Ng, Ed., vol. 72 of Lecture Notes in Computer Science, Springer-Verlag, pp. 452-465.
12 HOLT, D. F. Representing quotients of permutation groups. To appear in Quar. J. Math. (Oxford} (1997).
13
William M. Kantor, Finding composition factors of permutation groups of degree n≤ 10
14 LACE, R., NEUB/JsEn, J., AND SCHOENWAELDER, U. Algorithms for finite soluble groups and the SOGOS system. In Computational Group Theory (New York, 1984), M. D. Atkinson, Ed., Academic Press, pp. 105- 135.
15 Jeffrey S. Leon, Permutation group algorithms based on partitions, I: theory and algorithms
16 MECKY, M., AND NEUBiJSER, J. Some remarks on the computation of conjugacy classes of soluble groups. Bull. Austral. Math. Soc. 40 (1989), 281-292.
17 SCHONERT, M., ET AL. GAP -- Groups, Algorithms and Programming. Lehrstuhl D fAir Mathematik, RWTH, Aachen, 1994.
18 SCOTT, L. L. Representations in characteristic p. In The Santa-Cruz conference on finite groups (Providence, Rhode Island, 1980), B. Cooperstein and G. Mason, Eds., vol. 37 of Proceedings of Symposia in Pure Mathematics, AMS, pp. 319-331.
19 SIMS, C. C. Determining the conjugacy classes of a permutation group. In Computers in algebra and number theory, Proceedings of a symposium in applied mathematics, New York, 1970 (Providence, Rhode Island, 1971), G. Birkhoff and M. Hall Jr., Eds., vol. 4, AMS, pp. 191-195.
Primary Classification:
G.
Mathematics of Computing
G.2
DISCRETE MATHEMATICS
G.2.1
Combinatorics
Subjects:
Permutations and combinations
Additional Classification:
F.
Theory of Computation
F.2
ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY
F.2.2
Nonnumerical Algorithms and Problems
Subjects:
Computations on discrete structures
G.
Mathematics of Computing
G.4
MATHEMATICAL SOFTWARE
Subjects:
Algorithm design and analysis
General Terms:
Algorithms,
Experimentation,
Measurement,
Performance,
Theory,
Verification