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

Given a Baumslag-Solitar group, we study its space of subgroups from atopological and dynamical perspective. We first determine its perfect kernel(the largest closed subset without isolated points). We then bring to light anatural partition of the space of subgroups into one closed subset andcountably many open subsets that are invariant under the action by conjugation.One of our main results is that the restriction of the action to each piece istopologically transitive. This partition is described by an arithmeticallydefined function, that we call the phenotype, with values in the positiveintegers or infinity. We eventually study the closure of each open piece andalso the closure of their union. We moreover identify in each phenotype a (the)maximal compact invariant subspace.

On the space of subgroups of Baumslag-Solitar groups I: perfect kernel and phenotype