O. Mathieu

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20082022

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math.GR2022

Linearity and Nonlinearity of groups of polynomial automorphisms

Olivier Mathieu

Let $K$ be a field, and let $\Aut \,K^2$ be the group of polynomial automorphisms of $K^{2}$ . If $K$ is infinite, this group is nonlinear. Moreover it contains nonlinear FG subgroups…

math.GR2021

Which Nilpotent Groups are Self-Similar?

Olivier Mathieu

Let $Γ$ be a finitely generated torsion free nilpotent group, and let $A^{ω}$ be the space of infinite words over a finite alphabet $A$ . We investigate two types of self-similar acti…