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Nonabelian Fully-Ramified Sections

Published online by Cambridge University Press:  20 November 2018

Mark L. Lewis
Mark L. Lewis*
Affiliation:
Mathematics Department 400 Carver Hall Iowa State University Ames, Iowa 50011 U.S.A. email: [email protected]
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Abstract

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Let G be a finite group and let K and L be normal subgroups of G such that |K : L| and |G : K| are relatively prime, and assume that |K : L| is odd. Let H be a subgroup of G such that G = HK and H ∩ K = L. Let φ be an irreducible character of L that is invariant under the action of L and is fully ramified with respect to K/L. If χ ∈ Irr(G) is a constituent of φG, then we prove that χH has a unique irreducible constituent having odd multiplicity.

Keywords

20C15
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 48 , Issue 5 , 01 October 1996 , pp. 997 - 1017
Copyright
Copyright © Canadian Mathematical Society 1996

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