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Soient α et β deux permutations telles que αβ est transitif et α p =β q =1. Alors l'ensemble de toutes les permutations commuttant a la fois avec α et β est soit reduit a l'identite soit l'un des 3 groupes cycliques C p , C q ou C pq

Colorings of hypermaps and a conjecture of Brenner and Lyndon