Archiv der Mathematik

, Volume 112, Issue 1, pp 19–25 | Cite as

Dade’s ordinary conjecture implies the Alperin–McKay conjecture

  • Radha KessarEmail author
  • Markus Linckelmann
Open Access


We show that Dade’s ordinary conjecture implies the Alperin–McKay conjecture. We remark that some of the methods can be used to identify a canonical height zero character in a nilpotent block.


Dade’s ordinary conjecture Alperin–McKay conjecture Height zero characters 

Mathematics Subject Classification




We thank Gunter Malle for helpful comments on the first version of the paper.


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© The Author(s) 2018

Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Authors and Affiliations

  1. 1.Department of MathematicsCity, University of LondonLondonUK

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