Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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.

 

The set of character degrees of a finite group does not determine its solvability
HTML articles powered by AMS MathViewer

by Gabriel Navarro PDF
Proc. Amer. Math. Soc. 143 (2015), 989-990 Request permission

Abstract:

We find a pair of groups, one solvable and the other non-solvable, with the same set of character degrees.
References
  • Richard Brauer, Representations of finite groups, Lectures on Modern Mathematics, Vol. I, Wiley, New York, 1963, pp. 133–175. MR 0178056
  • Bertram Huppert, Some simple groups which are determined by the set of their character degrees. I, Illinois J. Math. 44 (2000), no. 4, 828–842. MR 1804317
  • Gabriel Navarro, Problems in character theory, Character theory of finite groups, Contemp. Math., vol. 524, Amer. Math. Soc., Providence, RI, 2010, pp. 97–125. MR 2731923, DOI 10.1090/conm/524/10350
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 20C15
  • Retrieve articles in all journals with MSC (2010): 20C15
Additional Information
  • Gabriel Navarro
  • Affiliation: Departament d’Àlgebra, Universitat de València, 46100 Burjassot, València, Spain
  • MR Author ID: 129760
  • Email: gabriel@uv.es
  • Received by editor(s): July 3, 2013
  • Published electronically: November 4, 2014
  • Additional Notes: The authors research was partially supported by the Spanish Ministerio de Educación y Ciencia, proyecto MTM2010-15296, and Prometeo/Generalitat Valenciana
  • Communicated by: Pham Huu Tiep
  • © Copyright 2014 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 143 (2015), 989-990
  • MSC (2010): Primary 20C15
  • DOI: https://doi.org/10.1090/S0002-9939-2014-12321-5
  • MathSciNet review: 3293716