The generalized dihedral groups Dih(Zn) as groups generated by time-varying automata

• Published in: Algebra and Discrete Mathematics
• Date: 2008
• Main Author: Woryna, A.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/153364
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The generalized dihedral groups Dih(Zn) as groups generated by time-varying automata / A. Woryna // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 3. — С. 98–101. — Бібліогр.: 8 назв. — англ.

Let Zn be a cubical lattice in the Euclidean space Rn. The generalized dihedral group Dih(Zn) is a topologically discrete group of isometries of Zn generated by translations and reflections in all points from Zn. We study this group as a group generated by a (2n+2)-state time-varying automaton o...