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arXiv · 2606.14319

Three subgroup common transversal in abelian groups

Maria Loukaki·Emmanouil Spyridakis
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Abstract

We completely characterize when three equal-order subgroups of a finite abelian group share a common transversal. Consequently, we determine when three full-rank lattices of equal volume with a discrete sum in $\mathbb{R}^d$ admit a common fundamental domain, answering, for $n=3$, an open question from 1997.

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Maria Loukaki, Emmanouil Spyridakis. 2026-06-12. Three subgroup common transversal in abelian groups. https://arxiv.org/abs/2606.14319

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