Primitive characters of subgroups of $M$-groups
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- by Mark L. Lewis PDF
- Proc. Amer. Math. Soc. 125 (1997), 27-33 Request permission
Abstract:
Let $G$ be an $M$–group, let $S$ be a subnormal subgroup of $G$, and let $H$ 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 $\gamma (1)=1$.References
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Additional Information
- Mark L. Lewis
- Affiliation: Department of Mathematics, 400 Carver Hall, Iowa State University, Ames, Iowa 50011
- MR Author ID: 363107
- Email: mllewis@iastate.edu
- Received by editor(s): June 26, 1995
- Communicated by: Ronald M. Solomon
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 27-33
- MSC (1991): Primary 20C15
- DOI: https://doi.org/10.1090/S0002-9939-97-03625-3
- MathSciNet review: 1353389