Irreducible characters taking root of unity values on $p$-singular elements
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- by Gabriel Navarro and Geoffrey R. Robinson
- Proc. Amer. Math. Soc. 140 (2012), 3785-3792
- DOI: https://doi.org/10.1090/S0002-9939-2012-11242-0
- Published electronically: March 15, 2012
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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 $G$.References
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Bibliographic 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