Mathematics – Functional Analysis
Scientific paper
2005-09-07
Mathematics
Functional Analysis
Scientific paper
Let $p$ be a real number greater than one. In this paper we study the vanishing and nonvanishing of the first $L^p$-cohomology space of some groups that have one end. We also make a connection between the first $L^p$-cohomology space and the Floyd boundary of the Cayley graph of a group. We apply the result about Floyd boundaries to show that there exists a real number $p$ such that the first $L^p$-cohomology space of a nonelementary hyperbolic group does not vanish.
No associations
LandOfFree
The first $L^p$-cohomology of some groups with one end 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 The first $L^p$-cohomology of some groups with one end, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The first $L^p$-cohomology of some groups with one end will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1825