Strange images of profinite groups

Details Strange images of profinite groups Strange images of profinite groups

2009-01-02

arxiv.org/abs/0901.0244v3

Mathematics

Group Theory

The results of this preprint have been superceded by http://arxiv.org/abs/1102.3037 which answers the questions posed here

Scientific paper

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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