English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We prove that $\operatorname{Aut}(F_n)$ has Kazhdan's property (T) for every$n \geqslant 6$. Together with a previous result of Kaluba, Nowak, and Ozawa,this gives the same statement for $n\geqslant 5$.  We also provide explicit lower bounds for the Kazhdan constants of$\operatorname{SAut}(F_n)$ (with $n \geqslant 6$) and of$\operatorname{SL}_n(\mathbb{Z})$ (with $n \geqslant 3$) with respect tonatural generating sets. In the latter case, these bounds improve uponpreviously known lower bounds whenever $n > 6$.

On property (T) for $\operatorname{Aut}(F_n)$ and $\operatorname{SL}_n(\mathbb{Z})$