Universal CA groups with few generators

preprint2020arXivOpen access

Abstract

There exist f.g.-universal cellular automata groups which are quotients of Z∗Z2\mathbb{Z} * \mathbb{Z}_2 or Z2∗Z2∗Z2\mathbb{Z}_2 * \mathbb{Z}_2 * \mathbb{Z}_2, as previously conjectured by the author.

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