Stepanov

The global semigroup of some group is the set of all nonempty subsets of the given group with a natural operation induced by the operation of the group. In the paper we describe automorphisms of the global semigroup of a cyclic group of prime order. We show that for each prime with the exception of 3 and 5 all the automorphisms of the global semigroup are induced by the automorphisms of the given group.