A Note on a Class of Steiner Triple Systems

Robert B.Gardner1
1 Department of Mathematics Louisiana State University in Shreveport Shreveport, Louisiana ULS.A. 7115

Abstract

Steiner triple systems admitting automorphisms whose disjoint cyclic decomposition consist of two cycles are explored. We call such systems bicyclic . Several necessary conditions are given. Sufficient conditions are given when the length of the smaller cycle is \(7\).