Bilipschitz equivalence is not equivalent to quasi-isometric equivalence for finitely generated groups
Time and place
4:15 PM on Friday, October 30th, 2009; CUNY Graduate Center: 365 Fifth Avenue at 34th Street, 5th Floor, Room 5417
Tullia Dymarz (Yale University)
Abstract
We show that certain lamplighter groups that are quasi-isometric (even commensurable) are nevertheless not bilipschitz equivalent. The proof involves structure of quasi-isometries from rigidity theorems, analysis of bilipschitz maps of the n-adics and uniformly finite homology.
