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The transformation of a marked level-3 location set R (3) under the map A (3) .

The transformation of a marked level-3 location set R (3) under the map A (3) .

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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 hyp...

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