Author

Alonso Castillo-Ramirez

Universidad de Guadalajara

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Preprint Oct 2026

Generation by lazy and invertible cellular automata over the Klein four-group

Let $G=C_2\times C_2$ and $A=\{0,1\}$. We characterize the submonoid of $\text{CA}(G;A)$ generated by lazy and invertible cellular automata. A cellular automaton belongs to this submonoid if and only if, whenever it maps the two free $G$-orbits onto the same free orbit, it maps both constant configurations and some two...

Edgar Alcalá-Arroyo, Alonso Castillo-Ramirez, Hao Ma et al. · 1 citation