On the Action of
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Abstract
In this paper we examine
-orbits on
and the suborbital graphs for
. Each such suborbitalgraph is a disjoint union of subgraphs whose vertices form a blockof imprimitivity for
. Moreover, these subgraphs areshown to be vertex
-transitive and edge
-transitive. Finally, necessary and sufficient conditions forbeing self-paired edge are provided.
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DOI Code:
10.1285/i15900932v30n2p141
Keywords:
Congruence groups; Transitive and Imprimitive action; Suborbital graphs
Full Text: PDF