Hall subgroup normalizers and character correspondences in $M$-groups
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- by I. M. Isaacs PDF
- Proc. Amer. Math. Soc. 109 (1990), 647-651 Request permission
Abstract:
Let $H$ be a Hall subgroup of an $M$-group $G$, and let $N$ be its normalizer in $G$. It is shown that the group $N/H’$ is an $M$-group. This involves the construction of an explicit bijection between the sets of irreducible characters of $G$ and of $N$ with degrees coprime to the order of $H$.References
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Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 109 (1990), 647-651
- MSC: Primary 20C15; Secondary 20D10
- DOI: https://doi.org/10.1090/S0002-9939-1990-1017004-4
- MathSciNet review: 1017004