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/

Zendy Plus

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

Zendy Tools

Zendy Open

Soit $K$ un corps global et $G$ un $K$-groupe fini r\'esoluble. Souscertaines hypoth\`eses sur une extension d\'eployant $G$, on d\'emontre quel'espace homog\`ene $V:=G'/G$ avec $G'$ un $K$-groupe semi-simple simplementconnexe v\'erifie l'approximation faible. On utilise une version plus pr\'ecisede ce r\'esultat pour d\'emontrer le principe de Hasse pour des espaceshomog\`enes $X$ sous un $K$-groupe $G'$ semi-simple simplement connexe \`astabilisateur g\'eom\'etrique $\bar G$ fini et r\'esoluble, sous certaineshypoth\`eses sur le $K$-lien $(\bar G,\kappa)$ d\'efini par $X$.    Let $K$ be a global field and $G$ a finite solvable $K$-group. Under certainhypotheses concerning the extension splitting $G$, we show that the homogeneousspace $V=G'/G$ with $G'$ a semi-simple simply connected $K$-group has weakapproximation. We use a more precise version of this result to prove the Hasseprinciple for homogeneous spaces $X$ under a semi-simple simply connected$K$-group $G'$ with finite solvable geometric stabilizer $\bar G$, undercertain hypotheses concerning the $K$-kernel (or $K$-lien) $(\bar G,\kappa)$defined by $X$.

mathematische annalen

Approximation faible et principe de Hasse pour des espaces homog\`enes  \`a stabilisateur fini r\'esoluble (Weak Approximation and Hasse Principle  for homogeneous spaces with finite solvable stabilizer)