Abstract
In this paper we study switching classes of alternating functions on the arc set of a complete symmetric digraph. Let KD be a complete symmetric digraph on a finite set X and L a switching class of alternating functions on the arc set A(KD). We discuss two cohomological invariants associated with a group of automorphisms of L. We determine whether for an automorphism g of L, two cohomological invariants of the cyclic group <g> and L are zero. Finally, we consider switching classes of alternating functions without non-identity automorphism.
