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 define the notion of rough Cayley graph for compactly generated locallycompact groups in terms of quasi-actions. We construct such a graph for anycompactly generated locally compact group using quasi-lattices and showuniqueness up to quasi-isometry. A class of examples is given by the Cayleygraphs of cocompact lattices in compactly generated groups. As an application,we show that a compactly generated group has polynomial growth if and only ifits rough Cayley graph has polynomial growth (same for intermediate andexponential growth). Moreover, a unimodular compactly generated group isamenable if and only if its rough Cayley graph is amenable as a metric space.

Quasi-actions and rough Cayley graphs for locally compact groups