AbstractWe provide some necessary and some sufficient conditions for the automorphism group of a free product of (freely indecomposable, not infinite cyclic) groups to have Property (FA).
The additional sufficient conditions are all met by finite groups, and so this case is fully characterised.
Therefore, this paper generalises the work of N. Leder [Serre’s Property FA for automorphism groups of free products, preprint (2018), https://arxiv.org/abs/1810.06287v1].
for finite cyclic groups, as well as resolving the open case of that paper.
On the automorphism groups of Frobenius groups
