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<p>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.</p>

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Finite Abelian groups with toroidal subgroup lattices

  • 期刊论文

  • 发表日期：

    2025年3月20日

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  • Richard A. Moy

摘要

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.