The transitive groups of degree twelve

Authors:
Gordon F. Royle
Affiliations:
Department of Mathematics, University of Western Australia Nedlands 6009, Western Australia
Venue:
Journal of Symbolic Computation
Year:
1987

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Abstract

This paper describes a simple method for constructing all the pairwise non-conjugate transitive groups of degree twelve. The construction was performed using the group theory package CAYLEY yielding a list of 301 transitive groups of twelve. A detailed list of all the minimal transitive groups of degree twelve is given.