We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Permanence properties of the second nilpotent product of groups.
- Authors
Sasyk, Román
- Abstract
We show that amenability, the Haagerup property, the Kazhdan's property (T) and exactness are preserved under taking second nilpotent product of groups. We also define the restricted second nilpotent wreath product of groups, this is a semi-direct product akin to the restricted wreath product but constructed from the second nilpotent product. We then show that if two discrete groups have the Haagerup property, the restricted second nilpotent wreath product of them also has the Haagerup property. We finally show that if a discrete group is abelian, then the restricted second nilpotent wreath product constructed from it is unitarizable if and only if the acting group is amenable.
- Subjects
NILPOTENT groups; GROUP products (Mathematics); DISCRETE groups; ABELIAN groups; WREATH products (Group theory)
- Publication
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2019, Vol 26, Issue 5, p725
- ISSN
1370-1444
- Publication type
Article
- DOI
10.36045/bbms/1579402819