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

In this paper we show the statement in the title. To any Garside group offinite type, Wiest and the author associated a hyperbolic graph called the\emph{additional length graph} and they used it to show that central quotientsof Artin-Tits groups of spherical type are acylindrically hyperbolic. Ingeneral, a euclidean Artin-Tits group is not \emph{a priori} a Garside groupbut McCammond and Sulway have shown that it embeds into an \emph{infinite-type}Garside group which they call a \emph{crystallographic Garside group}. Weassociate a \emph{hyperbolic} additional length graph to this crystallographicGarside group and we exhibit elements of the euclidean Artin-Tits group whichact loxodromically and WPD on this hyperbolic graph.

Euclidean Artin-Tits groups are acylindrically hyperbolic