Mathematics – Group Theory
Scientific paper
2010-10-13
Mathematics
Group Theory
Scientific paper
If G is a semidirect product N by H with N normal and finitely generated then G has the property that every finite group is a quotient of some finite index subgroup of G if and only if one of N and H has this property. This has applications to 3-manifolds and to cyclically presented groups, for instance for any fibred hyperbolic 3-manifold M and any finite simple group S, there is a cyclic cover of M whose fundamental group surjects to S. We also give a short proof of the residual finiteness of ascending HNN extensions of finite rank free groups when the induced map on homology is injective.
No associations
LandOfFree
Virtual finite quotients of finitely generated groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Virtual finite quotients of finitely generated groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Virtual finite quotients of finitely generated groups will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-227175