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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

To any automorphism, $\alpha$, of a totally disconnected, locally compactgroup, $G$, there is associated a compact, $\alpha$-stable subgroup of $G$,here called the \emph{nub} of $\alpha$, on which the action of $\alpha$ istopologically transitive. Topologically transitive actions of automorphisms ofcompact groups have been studied extensively in topological dynamics andresults obtained transfer, via the nub, to the study of automorphisms ofgeneral locally compact groups.  A new proof that the contraction group of $\alpha$ is dense in the nub isgiven, but it is seen that the two-sided contraction group need not be dense.It is also shown that each pair $(G,\alpha)$, with $G$ compact and $\alpha$topologically transitive, is an inverse limit of pairs that have `finite depth'and that analogues of the Schreier Refinement and Jordan-H\"older Theorems holdfor pairs with finite depth.

The Nub of an Automorphism of a Totally Disconnected, Locally Compact Group