Mathematics – Geometric Topology
Scientific paper
2011-06-06
Mathematics
Geometric Topology
13 pages; this is an extended and improved version which will appear in Monatshefte fuer Mathematik
Scientific paper
It is a consequence of the classical Jordan bound for finite subgroups of linear groups that in each dimension n there are only finitely many finite simple groups which admit a faithful, linear action on the n-sphere. In the present paper we prove an analogue for smooth actions on arbitrary homology n-spheres: in each dimension n there are only finitely many finite simple groups which admit a faithful, smooth action on some homology sphere of dimension n, and in particular on the n-sphere. We discuss also the finite simple groups which admit an action on a homology sphere of dimension 3, 4 or 5.
Guazzi Alessandra
Zimmermann Bruno
No associations
LandOfFree
On finite simple groups acting on homology spheres 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 On finite simple groups acting on homology spheres, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On finite simple groups acting on homology spheres will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-389998