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Representation Theory

Published by the American Mathematical Society since 1997, this electronic-only journal is devoted to research in representation theory and seeks to maintain a high standard for exposition as well as for mathematical content. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.71.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Inductive McKay condition for finite simple groups of type $\mathsf {C}$
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by Marc Cabanes and Britta Späth
Represent. Theory 21 (2017), 61-81
Published electronically: June 14, 2017


We verify the inductive McKay condition for simple groups of Lie type $\mathsf {C}$, namely finite projective symplectic groups. This contributes to the program of a complete proof of the McKay conjecture for all finite groups via the reduction theorem of Isaacs-Malle-Navarro and the classification of finite simple groups. In an important step we use a new counting argument to determine the stabilizers of irreducible characters of a finite symplectic group in its outer automorphism group. This is completed by analogous results on characters of normalizers of Sylow $d$-tori in those groups.
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Bibliographic Information
  • Marc Cabanes
  • Affiliation: CNRS, IMJ-PRG, Boite 7012, 75205 Paris Cedex 13, France
  • MR Author ID: 211320
  • Email:
  • Britta Späth
  • Affiliation: Bergische Universität Wuppertal, Gaußstr. 20, 42119 Wuppertal, Germany
  • Email:
  • Received by editor(s): September 16, 2016
  • Received by editor(s) in revised form: March 29, 2017
  • Published electronically: June 14, 2017
  • © Copyright 2017 American Mathematical Society
  • Journal: Represent. Theory 21 (2017), 61-81
  • MSC (2010): Primary 20C15, 20C33; Secondary 20G40
  • DOI:
  • MathSciNet review: 3662374