Groups generated by 3-state automata over a 2-letter alphabet, I

Details Groups generated by 3-state automata over a 2-letter alphabet, I Groups generated by 3-state automata over a 2-letter alphabet, I

2006-12-07

arxiv.org/abs/math/0612178v1

Mathematics

Group Theory

37 pages, 52 figures

Scientific paper

An approach to a classification of groups generated by 3-state automata over a 2-letter alphabet and the current progress in this direction are presented. Several results related to the whole class are formulated. In particular, all finite, abelian, and free groups are classified. In addition, we provide detailed information and complete proofs for several groups from the class, with the intention of showing the main methods and techniques used in the classification.

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