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Creators/Authors contains: "Navarro, Gabriel"

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  1. ; ; (, Pacific Journal of Mathematics)
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  2. ; ; ; (, Journal of the London Mathematical Society)
    Abstract The Gluck–Wolf theorem and its general version [Navarro and Tiep, Annals of Math.178(2013), 1135–1171] relate arithmetic properties at a fixed prime of the ratios , for irreducible characters of a finite group that lie over a fixed ‐invariant irreducible character of a normal subgroup of , to the structure of Sylow ‐subgroups of . This result constituted a key step towards the recent proof [Malle et al., Annals of Math.200(2024), 557–608] of Brauer's Height Zero Conjecture. In this paper, we prove a further extension of the Gluck–Wolf theorem to sets of primes, with a mild condition on if the alternating group is involved in the group. 
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    Free, publicly-accessible full text available December 1, 2026
  3. ; ; ; (, Annals of Mathematics)
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  4. ; ; ; (, Advances in Mathematics)
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  5. ; ; (, Transformation Groups)
    Abstract We prove that the number of conjugacy classes of a finite groupGconsisting of elements of odd order, is larger than or equal to that number for the normaliser of a Sylow 2-subgroup ofG. This is predicted by the Alperin Weight Conjecture. 
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  6. ; (, Bulletin of the London Mathematical Society)
    Let 𝐺 be a finite group and 𝑝 and 𝑞 be different primes. Assume that 𝑞 is odd and (𝑝, 𝑞) ≠ (2, 3). We prove that if 𝑞 divides the degrees of the nonlinear irreducible 𝑝-modular representations, then 𝐺 has a normal 𝑞-complement. 
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  7. ; (, Journal of Algebra)
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  8. ; ; (, Journal of Algebra)
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  9. ; ; (, Vietnam Journal of Mathematics)
    Abstract If G is a finite group, we have proposed three new conjectures on the interaction between different primes and their corresponding Brauer principal blocks. In this paper,we give strong support to the validity of Conjectures B and C. 
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  10. ; (, Journal of Algebra)
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