Given a sequence Ci of cyclic groups of prime orders, let Γ be the inverse limit of the iterated wreath products Cm≀ ⋯ ≀ C2≀ C1. We prove that the profinite group Γ is not topologically finitely invariably generated.
Invariable generation of iterated wreath products of cyclic groups
LUCCHINI, ANDREA
2017
Abstract
Given a sequence Ci of cyclic groups of prime orders, let Γ be the inverse limit of the iterated wreath products Cm≀ ⋯ ≀ C2≀ C1. We prove that the profinite group Γ is not topologically finitely invariably generated.
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