Strange images of profinite groups

2009/01/02 by Nikolay Nikolov, Nikolov, Nikolay · 1 citation
Mathematics · #20E18 #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:20E18

paper · pdf · doi:10.48550/arxiv.0901.0244

The results of this preprint have been superceded by http://arxiv.org/abs/1102.3037 which answers the questions posed here

arxiv created 2011/07/11 · arxiv updated 2011/07/12

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.

Cited by

• Generators and commutators in finite groups; abstract quotients of compact groups

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