2019
DOI: 10.48550/arxiv.1909.03295
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Character correspondeces in solvable groups with a self-normalizing Sylow subgroup

Carolina Vallejo

Abstract: Let G be a finite solvable group and let P P Syl p pGq for some prime p. Whenever |G : N G pP q| is odd, I. M. Isaacs described a correspondence between irreducible characters of degree not divisible by p of G and N G pP q. This correspondence is natural in the sense that an algorithm is provided to compute it, and the result of the application of the algorithm does not depend on choices made. In the case where N G pP q " P , G. Navarro showed that every irreducible character χ of degree not divisible by p has… Show more

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