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Dade’s ordinary conjecture implies the Alperin–McKay conjecture

Archiv der Mathematik volume 112, pages 19–25 (2019)Cite this article

Abstract

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.

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Acknowledgements

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

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Authors and Affiliations

  1. Department of Mathematics, City, University of London, London, EC1V 0HB, UK

    Radha Kessar & Markus Linckelmann

Authors
  1. Radha Kessar
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  2. Markus Linckelmann
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Corresponding author

Correspondence to Radha Kessar.

Additional information

This material is based upon work supported by the National Science Foundation under Grant No. DMS-1440140 while the authors were in residence at the Mathematical Sciences Research Institute in Berkeley, California, during the Spring 2018 semester. The second author acknowledges support from EPSRC Grant EP/M02525X/1.

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Kessar, R., Linckelmann, M. Dade’s ordinary conjecture implies the Alperin–McKay conjecture. Arch. Math. 112, 19–25 (2019). https://doi.org/10.1007/s00013-018-1230-9

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  • DOI: https://doi.org/10.1007/s00013-018-1230-9

Keywords

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

Mathematics Subject Classification

  • 20C20