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

dc.contributor.author	Woryna, A.
dc.date.accessioned	2019-06-14T03:36:08Z
dc.date.available	2019-06-14T03:36:08Z
dc.date.issued	2008
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2000 Mathematics Subject Classification: 20E22, 20E08, 20F65.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/153364
dc.description.abstract	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 over the changing alphabet. The corresponding action on the set of words is described.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	The generalized dihedral groups Dih(Zn) as groups generated by time-varying automata	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA