J. Miquel Martínez

Submitted

[14] Galois action on the principal block and generation of Sylow 3-subgroups, 2026. (with E. Ketchum, N. Rizo and A. A. Schaeffer Fry)

[13] Sum of the squares of the p'-character degrees, 2025. (with N. N. Hung and G. Navarro)

Submitted

[12] Principal blocks, irreducible restriction, fields and degrees, to appear in J. Algebra (special section in memory of Marty Isaacs), 2026. (with R. Lyons, G. Navarro and P. H. Tiep)

Published

[11] Alperin's bound and normal Sylow subgroups, J. London Math. Soc. 113(2) (2026), e70470, 22 p. (with Z. Feng and D. Rossi) arXiv

[10] The Alperin Weight Conjecture and the Glauberman correspondence via character triples, Algebra Number Theory, 20(2) (2026), 333–382. (with N. Rizo and D. Rossi) arXiv

[9] On almost p-rational characters in principal blocks, Publ. Mat. 70(1) (2026), 55–78. (with A. Maróti, A. A. Schaeffer Fry and C. Vallejo) arXiv

[8] The continuity of p-rationality of characters and the principal block, Proc. Amer. Math. Soc. 153(11) (2025), 4643–4655. (with G. Malle and C. Vallejo) arXiv

[7] Character degrees and local subgroups revisited, J. Algebra 676 (2025), 311–317. arXiv

[6] Characters of prime power degree in principal blocks, Arch. Math. (Basel) 122(2) (2024), 133–141. arXiv

[5] Degree divisibility in Alperin–McKay correspondences, J. Pure Appl. Algebra 227(12) (2023), Paper No. 107449, 11 p. (with D. Rossi) arXiv

[4] The blocks with four irreducible characters, Bull. London Math. Soc. 55 (2023), 658–667. (with N. Rizo and L. Sanus)

[3] Character degrees in blocks and defect groups, J. Algebra 594 (2022), 170–193. (with E. Giannelli and A. A. Schaeffer Fry) arXiv

[2] An infinite family of counterexamples to a conjecture on positivity, Rend. Semin. Mat. Univ. Padova 145 (2021), 205–206. arXiv

[1] Degrees of characters in the principal block, J. Algebra 579 (2021), 195–209.

List of collaborators: Zhicheng Feng, Eugenio Giannelli, Nguyen N. Hung, Eden Ketchum, Richard Lyons, Gunter Malle, Attila Maróti, Gabriel Navarro, Noelia Rizo, Damiano Rossi, Lucia Sanus, Mandi Schaeffer Fry, Pham Huu Tiep, Carolina Vallejo.