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Conditions under which a lattice is isomorphic to the subgroup lattice of an abelian group


Carolina Conțiu


Abstract

carpathian_2011_27_2_193_199_abstract

In this paper, we provide necessary and sufficient conditions under which a lattice is isomorphic to the subgroup lattice of an arbitrary abelian group. We also give necessary and sufficient conditions for a lattice L, to be isomorphic to the normal subgroup lattice of an arbitrary group.

Additional Information

Author(s)

Carolina, Conțiu