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Tagged with automata-theory combinatorics-on-words
2 questions
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Unique words in dihedral groups
Suppose $x$ is a word over the alphabet $\{0,1\}$.
Let $a$, $b$ be elements of the group Dih$_k$ for some $k$.
Let $\varphi=\varphi_{a,b,k}$ be the map from words over $\{0,1\}$ to elements of the ...
2
votes
1
answer
143
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Representability of sets of infinite sequences sharing common prefixes and factors (i.e. infixes)
Here we are concerned with the space $X^{\omega}$ of infinite sequences. Denote by $F_n(\xi)$
the set of factors (consecutive finite subsequences) of length $n$ and consider the set
$$
K_n(\xi) = \xi[...