Published 25 Feb 2003. First received 13 Feb 2002.

The solvable primitive permutation groups of degree at most 6560

B. Eick and B. Höfling

Abstract: The authors present an algorithm to construct conjugacy class representatives of the solvable primitive subgroups of S_d for a given degree d. Using this method, they determine the solvable primitive permutation groups of degree at most 6560 (that is, (3⁸ - 1)), up to conjugacy.

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