Vertex-transitive tournaments of order a product of two distinct primes
نویسنده
چکیده
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) oddorder transitive permutation groups of degree p and pq by using the classifications of vertextransitive 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.
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