On property (T) for automorphism groups of graph products
We show that the automorphism group of a graph product of finite groups $Aut(G_Γ)$ has Kazhdan's property (T) if and only if $Γ$ is a complete graph.
math.GR↗
arXiv subjects
Nils Leder
Publications and source records attributed to Nils Leder.
A note on locally elliptic actions on cube complexes
We deduce from Sageev's results that whenever a group acts locally elliptically on a finite dimensional CAT(0) cube complex, then it must fix a point. As an application, we give an example of a group G such that G does not have property (T), but G and all its finitely generated subgroups can not act without a fixed point on a finite dimensional CAT(0) cube complex, answering a question by Barnhill and Chatterji.
math.GR↗
Serre's Property FA for automorphism groups of free products
We study the automorphism group Aut(G) of a free product G of finite cyclic groups. We investigate the question in which cases Aut(G) has Serre's property FA. In the case of two or three free factors, we prove that Aut(G) does not have property FA. However, if each free factor of G occurs at least four times we show that Aut(G) does have property FA.
math.GR↗