On Property (FA) for wreath products
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 (FA) are not
quotients of finitely presented groups with the same property.
groups, wreath products
Cornulier, Yves
6fc577fc-7897-4810-b834-fa21232f42e5
Kar, Aditi
af416da5-c2ae-4f05-b692-758dc4a9bf69
Cornulier, Yves
6fc577fc-7897-4810-b834-fa21232f42e5
Kar, Aditi
af416da5-c2ae-4f05-b692-758dc4a9bf69
Cornulier, Yves and Kar, Aditi
(2010)
On Property (FA) for wreath products.
Pre-print.
(Submitted)
Abstract
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 (FA) are not
quotients of finitely presented groups with the same property.
Text
CK.pdf
- Author's Original
More information
Submitted date: 9 February 2010
Keywords:
groups, wreath products
Identifiers
Local EPrints ID: 79924
URI: http://eprints.soton.ac.uk/id/eprint/79924
PURE UUID: cfefa0b3-2e12-4221-ba9d-d5f842388f4f
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Date deposited: 23 Mar 2010
Last modified: 14 Mar 2024 00:34
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Contributors
Author:
Yves Cornulier
Author:
Aditi Kar
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