On the Action of ?0(N) on ??

Abstract

In this paper we examine ?0(N)-orbits on ?? and the suborbital graphs for ?0(N). Each such suborbital graph is a disjoint union of subgraphs whose vertices form a block of imprimitivity for ?0(N). Moreover, these subgraphs are shown to be vertex ?0(N)-transitive and edge ?0(N)-transitive. Finally, necessary and sufficient conditions for being self-paired edge are provided. © 2010 Università del Salento.