- We characterize permutational wreath products with Property (FA). For instance, the standard wreath product A wr B of two nontrivial countable groups A,B, has Property (FA) if and only if B has Property (FA) and A is a finitely generated group with finite abelianisation. We also prove an analogous result for hereditary Property (FA). On the other hand, we prove that many wreath products with hereditary Property (FA) are not quotients of finitely presented groups with the same property.
- Publication status:
- Publisher copy:
- Copyright date:
- 12 pages, 0 figure
On Property (FA) for wreath products
Views and Downloads
If you are the owner of this record, you can report an update to it here: Report update to this record