An automata group of intermediate growth and exponential activity
classification
🧮 math.GR
keywords
automatagroupactivityexponentialgrowthintermediatealphabetautomaton
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We give a new example of an automata group of intermediate growth. It is generated by an automaton with 4 states on an alphabet with 8 letters. This automata group has exponential activity and its limit space is not simply connected.
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