Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Inducing characters and nilpotent subgroups

Author(s): Gabriel Navarro
Journal: Proc. Amer. Math. Soc. 124 (1996), 3281-3284.
MSC (1991): Primary 20C15
MathSciNet review: 1344650
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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:

[1]: I. M. Isaacs, Characters of Solvable and Symplectic Groups, Amer. J. Math. 95 (1973), 594--635. MR 48:11270
[2]: I. M. Isaacs, Character Theory of Finite Groups, Academic Press, New York, 1976. MR 57:417
[3]: I. M. Isaacs, Characters of $\pi$ -separable Groups, J. Algebra 86 (1984), 98--128. MR 85h:20012

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