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...
Збережено в:
| Дата: | 2008 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2008
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/153364 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-153364 |
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dspace |
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irk-123456789-1533642019-06-15T01:26:23Z The generalized dihedral groups Dih(Zn) as groups generated by time-varying automata Woryna, A. 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. 2008 Article 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 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Woryna, A. |
| spellingShingle |
Woryna, A. The generalized dihedral groups Dih(Zn) as groups generated by time-varying automata Algebra and Discrete Mathematics |
| author_facet |
Woryna, A. |
| author_sort |
Woryna, A. |
| title |
The generalized dihedral groups Dih(Zn) as groups generated by time-varying automata |
| title_short |
The generalized dihedral groups Dih(Zn) as groups generated by time-varying automata |
| title_full |
The generalized dihedral groups Dih(Zn) as groups generated by time-varying automata |
| title_fullStr |
The generalized dihedral groups Dih(Zn) as groups generated by time-varying automata |
| title_full_unstemmed |
The generalized dihedral groups Dih(Zn) as groups generated by time-varying automata |
| title_sort |
generalized dihedral groups dih(zn) as groups generated by time-varying automata |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2008 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/153364 |
| citation_txt |
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. |
| series |
Algebra and Discrete Mathematics |
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AT worynaa thegeneralizeddihedralgroupsdihznasgroupsgeneratedbytimevaryingautomata AT worynaa generalizeddihedralgroupsdihznasgroupsgeneratedbytimevaryingautomata |
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2023-05-20T17:38:46Z |
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2023-05-20T17:38:46Z |
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1796153768829517824 |