The Structure of Tiles in ${\mathbb Z}_{p^n}\times {\mathbb Z}_q$ and ${\mathbb Z}_{p^n}\times {\mathbb Z}_p$

期刊论文
发表日期：

2026年3月9日

查看全文

Shilei Fan,
Mamateli Kadir,
Peishan Li

摘要

We provide a geometric characterization of tiles in the finite abelian groups $ \mathbb {Z}_{p^n} \times \mathbb {Z}_q $ $Z_{p^{n}} \times Z_{q}$ and $ \mathbb {Z}_{p^n} \times \mathbb {Z}_p $ $Z_{p^{n}} \times Z_{p}$ , where $ p $ $p$ and $ q $ $q$ are distinct primes, using the concept of a $ p $ $p$ -homogeneous tree, which gives an intuitively visualizable criterion.

The Structure of Tiles in \({\mathbb Z}_{p^n}\times {\mathbb Z}_q\) and \({\mathbb Z}_{p^n}\times {\mathbb Z}_p\)

摘要