Inducing characters and nilpotent subgroups
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- by Gabriel Navarro PDF
- Proc. Amer. Math. Soc. 124 (1996), 3281-3284 Request permission
Abstract:
If $H$ is a subgroup of a finite group $G$ and $\gamma \in \operatorname {Irr}(H)$ induces irreducibly up to $G$, we prove that, under certain odd hypothesis, $\mathbf {F}(G) \mathbf {F}(H)$ is a nilpotent subgroup of $G$.References
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- I. Martin Isaacs, Character theory of finite groups, Pure and Applied Mathematics, No. 69, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1976. MR 0460423
- I. M. Isaacs, Characters of $\pi$-separable groups, J. Algebra 86 (1984), no. 1, 98–128. MR 727371, DOI 10.1016/0021-8693(84)90058-9
Additional Information
- Gabriel Navarro
- Affiliation: Departament d’Algebra, Facultat de Matematiques, Universitat de Valencia, 46100 Burjassot, Valencia,    Spain
- MR Author ID: 129760
- Email: gabriel@vm.ci.uv.es
- Received by editor(s): April 15, 1995
- Additional Notes: Research partially supported by DGICYT
- Communicated by: Ronald M. Solomon
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 3281-3284
- MSC (1991): Primary 20C15
- DOI: https://doi.org/10.1090/S0002-9939-96-03454-5
- MathSciNet review: 1344650