Constructing transitive permutation groups

Authors:
Alexander Hulpke
Affiliations:
Department of Mathematics, Colorado State University, 1874 Campus Delivery, Fort Collins, CO 80523-1874, United States
Venue:
Journal of Symbolic Computation
Year:
2005

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Abstract

This paper presents a new algorithm to classify all transitive subgroups of the symmetric group up to conjugacy. It has been used to determine the transitive groups of degree up to 30.