The set of character degrees of a finite group does not determine its solvability
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- by Gabriel Navarro
- Proc. Amer. Math. Soc. 143 (2015), 989-990
- DOI: https://doi.org/10.1090/S0002-9939-2014-12321-5
- Published electronically: November 4, 2014
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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
Bibliographic 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