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Conjugating automorphisms of graph products: Kazhdan’s property (T) and SQ-universality. (English) Zbl 1481.20154

Summary: An automorphism of a graph product of groups is conjugating if it sends each factor to a conjugate of a factor (possibly different). In this article, we determine precisely when the group of conjugating automorphisms of a graph product satisfies Kazhdan’s property (T) and when it satisfies some vastness properties including SQ-universality.

MSC:

20F65 Geometric group theory
05C25 Graphs and abstract algebra (groups, rings, fields, etc.)
20F28 Automorphism groups of groups
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