On classification of groups generated by \(3\)-state automata over a \(2\)-letter alphabet

We show that the class of groups generated by 3-state automata over a 2-letter alphabet has no more than 122 members. For each group in the class we provide some basic information, such as short relators, a few initial values of the growth function, a few initial values of the sizes of the quotients...

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Datum:2018
Hauptverfasser: Bondarenko, Ievgen, Grigorchuk, Rostislav, Kravchenko, Rostyslav, Muntyan, Yevgen, Nekrashevych, Volodymyr, Savchuk, Dmytro, Sunic, Zoran
Format: Artikel
Sprache:English
Veröffentlicht: Lugansk National Taras Shevchenko University 2018
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Online Zugang:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/805
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics

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