A recent question of Gabriel Navarro asks whether it is true that the derived length of a defect group is less than or equal to the number of degrees of irreducible characters in a block. In this article, we bring new evidence towards the validity of this statement.
Character degrees in blocks and defect groups / Giannelli E.; Martinez J.M.; Schaeffer Fry A.A.. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - STAMPA. - 594:(2022), pp. 170-193. [10.1016/j.jalgebra.2021.11.035]
Character degrees in blocks and defect groups
Giannelli E.;
2022
Abstract
A recent question of Gabriel Navarro asks whether it is true that the derived length of a defect group is less than or equal to the number of degrees of irreducible characters in a block. In this article, we bring new evidence towards the validity of this statement.
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