A Kazhdan group with an infinite outer automorphism group

Details A Kazhdan group with an infinite outer automorphism group A Kazhdan group with an infinite outer automorphism group

2011-10-15

arxiv.org/abs/1110.3407v1

Mathematics

Representation Theory

Scientific paper

D. Kazhdan has introduced in 1967 the Property (T) for local compact groups.
In this article we prove that for $n\geq 3$ and $m \in \mathbb{N}$ the group
$SL_n(\textbf{K})\ltimes \mathcal{M}_{n,m}(\textbf{K})$ is a Kazhdan group
having the outer automorphism group infinite.

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