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The set of character degrees of a finite group does not determine its solvability


Author: Gabriel Navarro
Journal: Proc. Amer. Math. Soc. 143 (2015), 989-990
MSC (2010): Primary 20C15
DOI: https://doi.org/10.1090/S0002-9939-2014-12321-5
Published electronically: November 4, 2014
MathSciNet review: 3293716
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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.


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Additional Information

Gabriel Navarro
Affiliation: Departament d’Àlgebra, Universitat de València, 46100 Burjassot, València, Spain
Email: gabriel@uv.es

DOI: https://doi.org/10.1090/S0002-9939-2014-12321-5
Keywords: Character degrees, solvability, finite groups
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
Article copyright: © Copyright 2014 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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