Classification of groups generated by 3-state automata over a 2-letter alphabet

Ievgen Bondarenko; Rostislav Grigorchuk; Rostyslav Kravchenko; Yevgen Muntyan; Volodymyr Nekrashevych; Dmytro Savchuk; Zoran Sunic

arXiv · 0803.3555

Classification of groups generated by 3-state automata over a 2-letter alphabet

Ievgen Bondarenko·Rostislav Grigorchuk·Rostyslav Kravchenko·Yevgen Muntyan·Volodymyr Nekrashevych·Dmytro Savchuk·Zoran Sunic

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Abstract

This article contains most of the known results on the classification of groups generated by 3-state automata over a 2-letter alphabet, extending the previous papers 0704.3876 and math/0612178.

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Ievgen Bondarenko, Rostislav Grigorchuk, Rostyslav Kravchenko, Yevgen Muntyan, Volodymyr Nekrashevych, Dmytro Savchuk, Zoran Sunic. 2008-03-25. Classification of groups generated by 3-state automata over a 2-letter alphabet. https://arxiv.org/abs/0803.3555

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