Every finitely generated fully residually free group embeds into the group of complex formal power series under composition, and so do free products of continuum many copies of the additive group.
Cerveau, Une liste de probl\`emes, in Ecuaciones Differenciales, Univ
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Subgroups of the Group of Formal Power Series with the Big Powers Condition
Every finitely generated fully residually free group embeds into the group of complex formal power series under composition, and so do free products of continuum many copies of the additive group.