Publications
Submitted
- Height zero characters and Galois automorphisms (with A. Moretó and G. Souza), 2025.
- Character values of p-solvable groups on picky elements (with A. Moretó and G. Navarro), 2025.
In press
- The Alperin Weight Conjecture and the Glauberman correspondence via character triples, J. M. Martínez, N. Rizo, D. Rossi.
To appear in Algebra and Number Theory.
Published
La Gaceta de la RSME, Vol. 28 (2025), Núm. 3, Págs. 537–551.
- 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.
Journal of the London Mathematical Society (2025), 111: e70167
- A Brauer--Galois height zero conjecture, G. Malle, A. Moretó, N. Rizo and A. A. Schaeffer Fry.
International Mathematics Research Notices, Volume 2025, Issue 6, March 2025, rnaf065.
- Decomposition numbers in the principal block and Sylow normalisers, G. Malle and N. Rizo.
Pacific Journal of Mathematics 336 (2025), 367-378.
- Characters and Sylow 3-subgroup abelianizations, E. Giannelli, N. Rizo, A. A. Schaeffer Fry and C. Vallejo.
Journal of Algebra 667 (2025), 824-864.
- Brauer's problem 21 for principal blocks, A. Moretó, N. Rizo, A. A. Schaeffer Fry.
Transactions of the American Mathematical Society. Ser. B Vol. 12 (2025), 38-64.
- Minimal heights and defect groups with two character degrees, G. Malle, A. Moretó, N. Rizo.
Advances in Mathematics, Vol. 441, 2024.
- The blocks with four irreducible characters, M. Martínez, N. Rizo, L. Sanus.
Bull. London Math. Soc. (2023) 55: 658-667. https://doi.org/10.1112/blms.12747
- Principal blocks for different primes II, G. Navarro, N. Rizo, A. Schaeffer Fry.
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.)
- Principal blocks for different primes I, G. Navarro, N. Rizo, A. Schaeffer Fry.
J. Algebra 610 (2022), 632-654.
- Kernels of p'-degree irreducible characters, A. Moretó, N. Rizo.
Mediterr. J. Math. 19 (2022), no. 3, Paper No. 121, 8 pp
- Character degrees in separable groups, G. Navarro, N. Rizo, L. Sanus.
Proc. Amer. Math. Soc. 150, nr. 6 (2022) 2323–2329
- Brauer character degrees and Sylow normalizers, L. Bonazzi, G. Navarro, N. Rizo, L. Sanus.
Ann. Mat. Pura Appl. (4) (2022) https://doi.org/10.1007/s10231-022-01210-0
- Principal blocks with 5 irreducible characters, N. Rizo, A. A. Schaeffer Fry, C. Vallejo,
J. Algebra 585 (2021), 316-337.
- Characters and generation of Sylow 2-subgroups, G. Navarro, N. Rizo, A. A. Schaeffer Fry, C. Vallejo.
Represent. Theory 25 (2021), 142–165.
- A real version of Thompson's theorem on degrees, N. Rizo, L. Sanus.
Ann. Mat. Pura Appl. (4) 200 (2021), no. 3, 1297–1300.
- p-blocks relative to a character of a normal subgroup II, N. Rizo.
Mediterr. J. Math. 17 (2020), no. 6, Paper No. 171.
Algebra and Number Theory. 14-7 (2020), 1953–1979.
- 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.
- Groups with few p'-character degrees, E. Giannelli, N. Rizo, A. A. Schaeffer Fry.
J. Pure Appl. Algebra 224 (2020), no. 8, 15pp.
- 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.
Other Publications
- Brauer's problems: 60 years of legacy (with A. A. Schaeffer Fry).
Snapshots of modern mathematics from Oberwolfach (2025), no. 6. Link