Amalgamated free product in terms of automata constructions. (English) Zbl 1505.20024
Summary: Automata over finite alphabet are considered. Initial automata over finite alphabet with \(4\) states generating amalgamated free products of finite number of finite cyclic groups are constructed.
MSC:
20E06 | Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations |
20F10 | Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) |
20E26 | Residual properties and generalizations; residually finite groups |
20E08 | Groups acting on trees |
68Q70 | Algebraic theory of languages and automata |
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