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Rational subsets of groups
Free groups inverse automata Stallings automata rational subsets
2011/3/2
Over the years, finite automata have been used effectively in the theory of infinite
groups to represent rational subsets.
Given a family $F$ of subsets of a group $G$ we describe the structure of its thin-completion $\tau^*(F)$, which is the smallest thin-complete family that contains $I$. A family $F$ of subsets of $G$...