Skip to Main Content

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.


Characters and generation of Sylow 2-subgroups
HTML articles powered by AMS MathViewer

by Gabriel Navarro, Noelia Rizo, A. A. Schaeffer Fry and Carolina Vallejo
Represent. Theory 25 (2021), 142-165
Published electronically: February 25, 2021


We show that the character table of a finite group $G$ determines whether a Sylow 2-subgroup of $G$ is generated by 2 elements, in terms of the Galois action on characters. Our proof of this result requires the use of the Classification of Finite Simple Groups and provides new evidence for the so-far elusive Alperin–McKay–Navarro conjecture.
Similar Articles
  • Retrieve articles in Representation Theory of the American Mathematical Society with MSC (2020): 20C20, 20C15
  • Retrieve articles in all journals with MSC (2020): 20C20, 20C15
Bibliographic Information
  • Gabriel Navarro
  • Affiliation: Departament de Matemàtiques, Universitat de València, 46100 Burjassot, València, Spain
  • MR Author ID: 129760
  • Email:
  • Noelia Rizo
  • Affiliation: Departament de Matemàtiques, Universitat de València, 46100 Burjassot, València, Spain
  • MR Author ID: 1070925
  • Email:
  • A. A. Schaeffer Fry
  • Affiliation: Department of Mathematics and Statistics, MSU Denver, Denver, Colorado 80217
  • MR Author ID: 899206
  • Email:
  • Carolina Vallejo
  • Affiliation: Departamento de Matemáticas, Edificio Sabatini, Universidad Carlos III de Madrid, Av. Universidad 30, 28911, Leganés. Madrid, Spain
  • MR Author ID: 1001337
  • ORCID: 0000-0003-3363-3376
  • Email:
  • Received by editor(s): March 18, 2020
  • Received by editor(s) in revised form: April 1, 2020
  • Published electronically: February 25, 2021
  • Additional Notes: The first, second and fourth authors were partially supported by the Spanish Ministerio de Ciencia e Innovación PID2019-103854GB-I00 and FEDER funds. The third author was partially supported by the National Science Foundation under Grant No. DMS-1801156. The fourth author also acknowledges support by Spanish Ministerio de Ciencia e Innovación MTM2017-82690-P and the ICMAT Severo Ochoa project SEV-2015-0554. Part of this work was supported by the National Security Agency under Grant No. H98230-19-1-0119, The Lyda Hill Foundation, The McGovern Foundation, and Microsoft Research, while the second, third, and fourth authors were in residence at the Mathematical Sciences Research Institute in Berkeley, California, during the summer of 2019.
  • © Copyright 2021 American Mathematical Society
  • Journal: Represent. Theory 25 (2021), 142-165
  • MSC (2020): Primary 20C20, 20C15
  • DOI:
  • MathSciNet review: 4220651