Publications
Submitted
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- Fixed point ratios, Sylow numbers and coverings of p-elements in finite groups, R. M. Guralnick, A. Maróti, J. Martínez Madrid, A. Moretó and N. Rizo, 2024.
​- Characters and Sylow 3-subgroup commutarors, E. Giannelli, N. Rizo, A. A. Schaeffer Fry and C. Vallejo, 2024.
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​- A Brauer--Galois height zero conjecture, G. Malle, A. Moretó, N. Rizo and A. A. Schaeffer Fry, 2024.
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- The Alperin Weight Conjecture and the Glauberman correspondence via character triples, J. M. Martínez, N. Rizo, D. Rossi 2023.
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​- The blocks with five irreducible characters, J. M. Martínez, N. Rizo, L. Sanus, 2023.
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In press​
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- Decomposition numbers in the principal block and Sylow normalisers, G. Malle and N. Rizo, 2024.
To appear in Pacific Journal of Mathematics.
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- Brauer's problem 21 for principal blocks, A. Moretó, N. Rizo, A. A. Schaeffer Fry 2023.
To appear in Transactions of the American Mathematical Society.
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Published
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- Minimal heights and defect groups with two character degrees, G. Malle, A. Moretó, N. Rizo, 2023.
Advances in Mathematics, Vol. 441, 2024.
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- The blocks with four irreducible characters, M. Martínez, N. Rizo, L. Sanus 2022.
Bull. London Math. Soc., 55: 658-667. https://doi.org/10.1112/blms.12747
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- Principal blocks for different primes II, G. Navarro, N. Rizo, A. Schaeffer Fry 2022.
Vietnam J. Math. (2022). https://doi.org/10.1007/s10013-022-00594-z (special issue dedicated to Pham Huu Tiep on the occasion of his 60th birthday.)
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- Principal blocks for different primes I, G. Navarro, N. Rizo, A. Schaeffer Fry 2022.
J. Algebra 610 (2022), 632-654.
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- Kernels of p'-degree irreducible characters, A. Moretó, N. Rizo, 2021.
Mediterr. J. Math. 19 (2022), no. 3, Paper No. 121, 8 pp
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- Character degrees in separable groups, G. Navarro, N. Rizo, L. Sanus 2021.
Proc. Amer. Math. Soc. 150, nr. 6 (2022) 2323–2329
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- Brauer character degrees and Sylow normalizers, L. Bonazzi, G. Navarro, N. Rizo, L. Sanus 2021.
Ann. Mat. Pura Appl. (4) (2022) https://doi.org/10.1007/s10231-022-01210-0
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- Principal blocks with 5 irreducible characters, N. Rizo, A. A. Schaeffer Fry, C. Vallejo,
J. Algebra 585 (2021), 316-337.
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- Characters and generation of Sylow 2-subgroups, G. Navarro, N. Rizo, A. A. Schaeffer Fry, C. Vallejo.
Represent. Theory 25 (2021), 142–165.
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- A real version of Thompson's theorem on degrees, N. Rizo, L. Sanus.
Ann. Mat. Pura Appl. (4) 200 (2021), no. 3, 1297–1300.
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- p-blocks relative to a character of a normal subgroup II, N. Rizo.
Mediterr. J. Math. 17 (2020), no. 6, Paper No. 171.
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Algebra and Number Theory. 14-7 (2020), 1953–1979.
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- Groups with few p'-character degrees in the principal block, E. Giannelli, N. Rizo, B. Sambale, A. A. Schaeffer Fry.
Proc. Amer. Math. Soc. 148 (2020), no. 11, 4597–4614.
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- Groups with few p'-character degrees, E. Giannelli, N. Rizo, A. A. Schaeffer Fry.
J. Pure Appl. Algebra 224 (2020), no. 8, 15pp.
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- Unitary t-groups, E. Bannai, G. Navarro, N. Rizo, P. H.Tiep.
J. Math. Soc. Japan 72 (2020), no. 3, 909–921.
- Divisibility of degrees in McKay correspondences, N. Rizo.
Arch. Math. (Basel) 112 (2019), no. 1, 5–11.
- Certain irreducible characters over a normal subgroup, G. Navarro, N. Rizo.
J. Group Theory 20 (2017), no. 4, 621–635.
- A Brauer-Wielandt formula (with an application to character tables), G. Navarro, N. Rizo.
Proc. Amer. Math. Soc. 144 (2016), no. 10, 4199–4204.
- Nilpotent and perfect groups with the same set of character degrees, G. Navarro, N. Rizo.
J. Algebra Appl. 13 (2014), no. 8, 3 pp.