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: | , |
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| Format: | Article |
| Language: | English |
| Published: |
2010-02-09.
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| Subjects: | |
| Online Access: | Get fulltext |
| Summary: | 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. |
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