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 provide results on the smoothness of normalisers in connected reductivealgebraic groups $G$ over fields $k$ of positive characteristic $p$.Specifically we we give bounds on $p$ which guarantee that normalisers ofsubalgebras of $\mathfrak{g}$ in $G$ are smooth, i.e.\ so that the Lie algebrasof these normalisers coincide with the infinitesimal normalisers. One of ourmain tools is to exploit cohomology vanishing of small dimensional modules.Along the way, we obtain complete reducibility results for small dimensionalmodules in the spirit of similar results due to Jantzen, Guralnick, Serre andBendel--Nakano--Pillen.

On the smoothness of normalisers and the subalgebra structure of modular Lie algebras