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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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- Galois action on the principal block and cyclic Sylow subgroups, N. Rizo,  A. A. Schaeffer Fry, C. Vallejo.

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.

- Nilpotent and perfect groups with the same set of character degrees, G. Navarro, N. Rizo.

J. Algebra Appl. 13 (2014), no. 8,  3 pp.

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