Mathematics > Group Theory
arXiv:2606.14319 (math)
[Submitted on 12 Jun 2026]
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.
Submission history
From: Maria Loukaki [view email]
[v1]
Fri, 12 Jun 2026 09:59:18 UTC (2,509 KB)
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