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Results tagged with profinite-groups
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user 157261
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votes
Free partners in semi-direct products
Take $G={\mathbb Z}^2={\mathbb Z}\times {\mathbb{Z}}$, $K$ be the trivial group, $N=G$. Then $G$ is finitely generated, $\mathcal F$ is trivial and not profinitely dense. On the other hand if $G$ is t …
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