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The generalized dihedral groups Dih(Zn) as groups generated by time-varying automata
Репозиторій DSpace/Manakin
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The generalized dihedral groups Dih(Zn) as groups generated by time-varying automata
Інший ID:
2000 Mathematics Subject Classification: 20E22, 20E08, 20F65.
Посилання:
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.
Дата:
2008
Переглядів:
642
Завантажень:
194
Анотація:
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.
