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

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...

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Bibliographic Details
Date:2008
Main Author: Woryna, A.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2008
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/153364
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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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine