Admissible Reversing and Extended Symmetries for Bijective Substitutions
CC BY
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s00454-022-00387-8 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7426 |
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oai:localhost:PNK-74262023-04-03T04:03:44Z Admissible Reversing and Extended Symmetries for Bijective Substitutions Álvaro, Bustos Daniel, Luz Neil, Mañibo group Zd×H group (Zd⋊P)×H CC BY In this paper, we deal with reversing and extended symmetries of subshifts generated by bijective substitutions. We survey some general algebraic and dynamical properties of these subshifts and recall known results regarding their symmetry groups. We provide equivalent conditions for a permutation on the alphabet to generate a reversing/extended symmetry, and algorithms how to compute them. Moreover, for any finite group H and any subgroup P of the d-dimensional hyperoctahedral group, we construct a bijective substitution which generates an aperiodic subshift with symmetry group Zd×H and extended symmetry group (Zd⋊P)×H. A similar construction with the same symmetry group, but with extended symmetry group (Zd×H)⋊P is also provided under a mild assumption on the dimension. 2023-04-03T04:03:44Z 2023-04-03T04:03:44Z 2022 Book https://link.springer.com/article/10.1007/s00454-022-00387-8 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7426 en application/pdf Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
group Zd×H group (Zd⋊P)×H |
| spellingShingle |
group Zd×H group (Zd⋊P)×H Álvaro, Bustos Daniel, Luz Neil, Mañibo Admissible Reversing and Extended Symmetries for Bijective Substitutions |
| description |
CC BY |
| format |
Book |
| author |
Álvaro, Bustos Daniel, Luz Neil, Mañibo |
| author_facet |
Álvaro, Bustos Daniel, Luz Neil, Mañibo |
| author_sort |
Álvaro, Bustos |
| title |
Admissible Reversing and Extended Symmetries for Bijective Substitutions |
| title_short |
Admissible Reversing and Extended Symmetries for Bijective Substitutions |
| title_full |
Admissible Reversing and Extended Symmetries for Bijective Substitutions |
| title_fullStr |
Admissible Reversing and Extended Symmetries for Bijective Substitutions |
| title_full_unstemmed |
Admissible Reversing and Extended Symmetries for Bijective Substitutions |
| title_sort |
admissible reversing and extended symmetries for bijective substitutions |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1007/s00454-022-00387-8 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7426 |
| _version_ |
1762184302708129792 |
| score |
8.887836 |