首页|The structure of tiles in $\mathbb{Z}_{p^n}\times \mathbb{Z}_q$ and $\mathbb{Z}_{p^n}\times \mathbb{Z}_p$

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

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英文摘要

In this paper, we provide a geometric characterization of tiles in the finite abelian groups $ \mathbb{Z}_{p^n} \times \mathbb{Z}_q $ and $ \mathbb{Z}_{p^n} \times \mathbb{Z}_p $ using the concept of a $ p $-homogeneous tree, which provides an intuitively visualizable criterion.

作者：Peishan Li、Shilei Fan、Mamateli Kadir

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学科分类：数学

推荐引用：Peishan Li,Shilei Fan,Mamateli Kadir.The structure of tiles in $\mathbb{Z}_{p^n}\times \mathbb{Z}_q$ and $\mathbb{Z}_{p^n}\times \mathbb{Z}_p$[EB/OL].(2024-11-04)[2025-08-02].https://arxiv.org/abs/2411.02696.点此复制

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

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

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