Proceedings of the American Mathematical Society

Author(s): Mark L. Lewis
Journal: Proc. Amer. Math. Soc. 125 (1997), 27-33.
MSC (1991): Primary 20C15
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Abstract: Let $G$

be an

-group, let $S$

be a subnormal subgroup of $G$

, and let

be a Hall subgroup of $S$

. If the character $\gamma \in \operatorname {Irr}(H)$ is primitive, then $\gamma (1)$ is a power of 2. Furthermore, if $|G:S|$

is odd, then $\gamma (1)=1$ .

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 20C15

Mark L. Lewis
Affiliation: Department of Mathematics, 400 Carver Hall, Iowa State University, Ames, Iowa 50011
Email: mllewis@iastate.edu

DOI: 10.1090/S0002-9939-97-03625-3
PII: S 0002-9939(97)03625-3
Received by editor(s): June 26, 1995
Communicated by: Ronald M. Solomon
Copyright of article: Copyright 1997, American Mathematical Society

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