0-1 EMBEDDINGS OF M` IN ABELIAN SUBGROUP LATTICES

Abstract

In this note we consider the question of how large ` can be so that M` fits inside Sub(G) as a 0-1 sublattice, for a finite abelian group G. We answer the question for G = Zn × Zn: in this case ` = p + 1, where p is the smallest prime dividing n.