Kantor developed several polynomial-time algorithms for soluble permutation groups that he thought could form the basis of implementations for practical use. In this paper, we resolve the implementation difficulties for the basic algorithm which finds a normal subgroup of prime index, and algorithms for computing Sylow subgroups, testing solvability, and constructing a subnormal series.
CITATION STYLE
Butler, G. (1991). Implementing some algorithms of Kantor. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 539 LNCS, pp. 82–93). Springer Verlag. https://doi.org/10.1007/3-540-54522-0_98
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