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Strange images of profinite groups

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 $G$.
Publication status:
Not published
Peer review status:
Not peer reviewed

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Department:
University College
Publication date:
2011-07-04
Pubs id:
pubs:354351
URN:
uri:6bff823d-a159-48ff-878e-e7d1ab729a68
UUID:
uuid:6bff823d-a159-48ff-878e-e7d1ab729a68
Local pid:
pubs:354351
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