Strange images of profinite groups
Group Theory
2011-07-12 v3
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 .
Cite
@article{arxiv.0901.0244,
title = {Strange images of profinite groups},
author = {Nikolay Nikolov},
journal= {arXiv preprint arXiv:0901.0244},
year = {2011}
}
Comments
The results of this preprint have been superceded by http://arxiv.org/abs/1102.3037 which answers the questions posed here