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ABSTRACT
Let be an irreducible character of a finite group
. If
, then the degrees of the irreducible constituents of the restriction
can be controlled by some conditions on
and on the normalizer of
in
.
ACKNOWLEDGMENTS
We thank the referee for very useful remarks, which shortened the proof of Theorem A. Ricerca svolta nell'ambito del progetto MURST “Teoria dei gruppi e applicazioni.” We thank the Department of Mathematics of the University of Wisconsin-Madison for the hospitality during the Spring semester 2000 and Prof. I.M. Isaacs for helpful discussions.