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arXiv · 1110.3407

A Kazhdan group with an infinite outer automorphism group

Traian Preda
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Abstract

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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Traian Preda. 2011-10-15. A Kazhdan group with an infinite outer automorphism group. https://arxiv.org/abs/1110.3407

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