Journal article

### 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Not peer reviewed

### Authors

More by this author
Institution:
University of Oxford
Oxford college:
University College
Role:
Author
Journal:
arXiv
Publication date:
2011-07-01
Source identifiers:
354351
Keywords:
Pubs id:
pubs:354351
UUID:
uuid:6bff823d-a159-48ff-878e-e7d1ab729a68
Local pid:
pubs:354351
Deposit date:
2017-06-04