The generalized dihedral groups \(Dih(\mathbb{Z}^n)\) as groups generated by time-varying automata
Let \(\mathbb{Z}^n\) be a cubical lattice in the Euclidean space \(\mathbb{R}^n\). The generalized dihedral group \(Dih(\mathbb{Z}^n)\) is a topologically discrete group of isometries of \(\mathbb{Z}^n\) generated by translations and reflections in all points from \(\mathbb{Z}^n\). We study this...
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| Date: | 2018 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/822 |
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| Journal Title: | Algebra and Discrete Mathematics |