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Finite Abelian Groups with Toroidal Subgroup Lattices

Published 19 Jun 2024 in math.CO and math.GR | (2406.13202v1)

Abstract: In this paper, we determine the genus of the subgroup lattice of several families of abelian groups. In doing so, we classify all finite abelian groups whose subgroup lattices can be embedded into the torus.

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