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

The Alperin-McKay conjecture relates height zero characters of an$\ell$-block with the ones of its Brauer correspondent. This conjecture hasbeen reduced to the so-called inductive Alperin-McKay conditions aboutquasi-simple groups by the third author. Those conditions are still open forgroups of Lie type. The present paper describes characters of height zero in$\ell$-blocks of groups of Lie type over a field with $q$ elements when $\ell$divides $q-1$. We also give information about $\ell$-blocks and Brauercorrespondents. As an application we show that quasi-simple groups of type $C$over $\mathbb{F}_q$ satisfy the inductive Alperin-McKay conditions for primes$\ell\geq 5$ and dividing $q-1$. Some methods to that end are adapted from thework of Malle--Sp\"ath.

On the Inductive Alperin-McKay Conditions in the Maximally Split Case