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Abstract
In this paper, we begin a classification of the vertex-transitive tournaments of order pq where p and q are distinct odd primes. In particular we characterize the pq-circulant tournaments; see Theorem 4.3. Moreover, we determine 2-closed (in Wielandt's sense) odd-order transitive permutation groups of degree p and pq by using the classifications of vertex-transitive tournaments of order p and pq. We prove that each such 2-closed group containing a cyclic regular subgroup is the full automorphism group of some circulant tournament.
Received: 2009-08-12
Revised: 2009-10-13
Published Online: 2010-02-08
Published in Print: 2010-July
© de Gruyter 2010