The generalized dihedral groups Dih(Zn) as groups generated by time-varying automata
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
The generalized dihedral groups Dih(Zn) as groups generated by time-varying automata
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| Creator |
Woryna, A.
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| Description |
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.
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| Date |
2019-06-14T03:36:08Z
2019-06-14T03:36:08Z 2008 |
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| Type |
Article
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| Identifier |
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.
1726-3255 2000 Mathematics Subject Classification: 20E22, 20E08, 20F65. http://dspace.nbuv.gov.ua/handle/123456789/153364 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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