The automorphism group of a free product of freely indecomposable non-cyclic groups has Serre's Property (FA) under stated necessary and sufficient conditions, with the finite case completely characterized.
On property (F A) for wreath prod ucts
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Serre's Property (FA) for automorphism groups of free products
The automorphism group of a free product of freely indecomposable non-cyclic groups has Serre's Property (FA) under stated necessary and sufficient conditions, with the finite case completely characterized.