On property (T) for automorphism groups of graph products

2019/02/12 by Nils Leder, Leder, Nils, Olga Varghese +1
Mathematics · #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.1902.04370

openalex publication_date 2019/02/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• On property (T) for Aut(F_n) and SL_n(ℤ)

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