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Semiregular subgroups of transitive permutation groups
Last modified: 2014-02-07
Abstract
In this talk I will discuss the semiregularity problem which in its original form asks if every vertex-transitive digraph has a nonidentity semiregular automorphism, that is an automorphism with all orbits of the same size. I will give a short overview of the current status of this problem (adn some of its generalizations) and discuss possible future directions.