Free subsemigroups in automata semigroups

Abstract: Over the last few decades, Mealy automata have been used to construct many groups and semigroups with interesting and exotic properties, such as groups of intermediate growth or infinite finitely generated periodic groups. One can wonder how the properties of an automaton are reflected in the properties of the semigroup or group that it generates. In this talk, I will explore one such connection between the automaton and the existence of free subsemigroup in the corresponding semigroup. This is the result of a joint work with Ivan Mitrofanov.

category theorygroup theoryrings and algebras

Audience: researchers in the topic

York semigroup seminar

Series comments: Description: Semigroup-related research talks at University of York.

Email Nora Szakacs at nora.szakacs@york.ac.uk for the meeting password.