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arXiv · 1710.10020

An automata group of intermediate growth and exponential activity

Jérémie Brieussel
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Abstract

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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Jérémie Brieussel. 2017-10-27. An automata group of intermediate growth and exponential activity. https://arxiv.org/abs/1710.10020

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