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 introduce and study \emph{shift-similar} groups$G\le\textrm{Sym}(\mathbb{N})$, which play an analogous role in the world ofHoughton groups that self-similar groups play in the world of Thompson groups.We also introduce Houghton-like groups $H_n(G)$ arising from shift-similargroups $G$, which are an analog of R\"over-Nekrashevych groups from the worldof Thompson groups. We prove a variety of results about shift-similar groupsand these Houghton-like groups, including results about finite generation andamenability. One prominent result is that every finitely generated group embedsas a subgroup of a finitely generated shift-similar group, in contrast toself-similar groups, where this is not the case. This establishes in particularthat there exist uncountably many isomorphism classes of finitely generatedshift-similar groups, again in contrast to the self-similar situation.

Houghton-like groups from "shift-similar" groups