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- W4287368510 abstract "In this paper, we deal with reversing and extended symmetries of shifts generated by bijective substitutions. We provide equivalent conditions for a permutation on the alphabet to generate a reversing/extended symmetry, and algorithms how to check them. Moreover, we show that, for any finite group $G$ and any subgroup $P$ of the $d$-dimensional hyperoctahedral group, there is a bijective substitution which generates an aperiodic hull with symmetry group $mathbb{Z}^{d}times G$ and extended symmetry group $(mathbb{Z}^{d} rtimes P)times G$." @default.
- W4287368510 created "2022-07-25" @default.
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- W4287368510 date "2021-01-26" @default.
- W4287368510 modified "2023-09-30" @default.
- W4287368510 title "Admissible reversing and extended symmetries for bijective substitutions" @default.
- W4287368510 doi "https://doi.org/10.48550/arxiv.2101.10988" @default.
- W4287368510 hasPublicationYear "2021" @default.
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