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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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2008 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2008
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| Онлайн доступ: | https://nasplib.isofts.kiev.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| _version_ | 1862690617848496128 |
|---|---|
| author | Woryna, A. |
| author_facet | Woryna, A. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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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| first_indexed | 2025-12-07T16:14:40Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-153364 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T16:14:40Z |
| publishDate | 2008 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Woryna, A. 2019-06-14T03:36:08Z 2019-06-14T03:36:08Z 2008 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. https://nasplib.isofts.kiev.ua/handle/123456789/153364 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics The generalized dihedral groups Dih(Zn) as groups generated by time-varying automata Article published earlier |
| spellingShingle | The generalized dihedral groups Dih(Zn) as groups generated by time-varying automata Woryna, A. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/153364 |
| work_keys_str_mv | AT worynaa thegeneralizeddihedralgroupsdihznasgroupsgeneratedbytimevaryingautomata AT worynaa generalizeddihedralgroupsdihznasgroupsgeneratedbytimevaryingautomata |