Irreducible characters taking root of unity values on -singular elements

Authors:
Gabriel Navarro and Geoffrey R. Robinson

Journal:
Proc. Amer. Math. Soc. **140** (2012), 3785-3792

MSC (2010):
Primary 20C15

DOI:
https://doi.org/10.1090/S0002-9939-2012-11242-0

Published electronically:
March 15, 2012

MathSciNet review:
2944719

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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper we study finite -solvable groups having irreducible complex characters which take root of unity values on the -singular elements of .

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Additional Information

**Gabriel Navarro**

Affiliation:
Departament d’Àlgebra, Universitat de València, 46100 Burjassot, Spain

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

DOI:
https://doi.org/10.1090/S0002-9939-2012-11242-0

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

Article copyright:
© Copyright 2012
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.