Serre's Property (FA) for automorphism groups of free products
Group Theory
2019-07-17 v1
Abstract
We 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 Leder (arXiv:1810.06287) for finite cyclic groups, as well as resolving the open case of that paper.
Cite
@article{arxiv.1907.07022,
title = {Serre's Property (FA) for automorphism groups of free products},
author = {Naomi Andrew},
journal= {arXiv preprint arXiv:1907.07022},
year = {2019}
}
Comments
25 pages, 3 figures