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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.

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Irreducible characters taking root of unity values on $p$-singular elements
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by Gabriel Navarro and Geoffrey R. Robinson PDF
Proc. Amer. Math. Soc. 140 (2012), 3785-3792 Request permission

Abstract:

In this paper we study finite $p$-solvable groups having irreducible complex characters $\chi \in \operatorname {Irr}(G)$ which take root of unity values on the $p$-singular elements of $G$.
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Additional Information
  • Gabriel Navarro
  • Affiliation: Departament d’Àlgebra, Universitat de València, 46100 Burjassot, Spain
  • MR Author ID: 129760
  • Email: gabriel.navarro@uv.es
  • Geoffrey R. Robinson
  • Affiliation: Institute of Mathematics, University of Aberdeen, Aberdeen, AB24 3UE Scotland
  • Email: g.r.robinson@abdn.ac.uk
  • Received by editor(s): December 9, 2010
  • Received by editor(s) in revised form: December 12, 2010, and May 3, 2011
  • Published electronically: March 15, 2012
  • Additional Notes: The research of the first author is partially supported by the Spanish Ministerio de Educación y Ciencia proyecto MTM2010-15296 and Prometeo/Generalitat Valenciana.
  • Communicated by: Jonathan I. Hall
  • © Copyright 2012 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 140 (2012), 3785-3792
  • MSC (2010): Primary 20C15
  • DOI: https://doi.org/10.1090/S0002-9939-2012-11242-0
  • MathSciNet review: 2944719