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arXiv · 0901.0244

Strange images of profinite groups

Nikolay Nikolov
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Abstract

We investigate whether a finitely generated profinite group G could have a finitely generated infinite image. A result of Dan Segal shows that this is impossible if G is prosoluble. We prove that such an image does not exist if G is semisimple or nonuniversal. We also investigate the existense of dense normal subgroups in $G$.

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Nikolay Nikolov. 2011-07-11. Strange images of profinite groups. https://arxiv.org/abs/0901.0244

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