On Property (FA) for wreath products
We prove that the standard wreath product A \wr 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 groups with hereditary Property...
Main Authors: | Cornulier, Yves (Author), Kar, Aditi (Author) |
---|---|
Format: | Article |
Language: | English |
Published: |
2010-02-09.
|
Subjects: | |
Online Access: | Get fulltext |
Similar Items
-
Wreath products and properties of groups /
by: Parker, Donald Beshers
Published: (1968) -
Some commutator properties of the generalised wreath product
by: Miah, Aminur Rahman
Published: (2007) -
Nilpotent permutational wreath products
by: Ljeskovac, Anne
Published: (1981) -
Character theory of infinite wreath products
by: Robert Boyer
Published: (2005-01-01) -
Smashed and Twisted Wreath Products of Metagroups
by: Sergey V. Ludkowski
Published: (2019-11-01)