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Blocks with $p$-power character degrees

Author(s): Gabriel Navarro; Geoffrey R. Robinson
Journal: Proc. Amer. Math. Soc. 133 (2005), 2845-2851.
MSC (2000): Primary 20C20
Posted: April 19, 2005
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Abstract: Let $B$ be a $p$-block of a finite group $G$. If $\chi(1)$ is a $p$-power for all $\chi\in\operatorname{Irr}(B)$, then $B$ is nilpotent.

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Additional Information:

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

Geoffrey R. Robinson
Affiliation: School of Mathematics and Statistics, University of Birmingham, Edgbaston, Birmingham B15 2TT, United Kingdom
Address at time of publication: Department of Mathematical Sciences, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom
Email: grr@for.mat.bham.ac.uk, grr@maths.abdn.ac.uk

DOI: 10.1090/S0002-9939-05-07915-3
PII: S 0002-9939(05)07915-3
Received by editor(s): May 25, 2004
Posted: April 19, 2005
Communicated by: Jonathan I. Hall
Copyright of article: Copyright 2005, American Mathematical Society

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