@article{city27601,
          volume = {587},
       publisher = {Elsevier BV},
            note = {{\copyright} 2021. This article has been published in Journal of Algebra by Elsevier. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/},
             doi = {10.1016/j.jalgebra.2021.07.034},
           month = {December},
           title = {Restrictions of characters in p-solvable groups},
         journal = {Journal of Algebra},
           pages = {130--141},
            year = {2021},
        abstract = {Let G be a p-solvable group, P {$\leq$} G a p-subgroup and {\ensuremath{\chi}} {$\in$} Irr(G) such that {\ensuremath{\chi}}(1)p {$\ge$} {\ensuremath{|}}G : P {\ensuremath{|}}p. We prove that the restriction {\ensuremath{\chi}}P is a sum of characters induced from subgroups Q {$\leq$} P such that {\ensuremath{\chi}}(1)p = {\ensuremath{|}}G : Q{\ensuremath{|}}p. This generalizes previous results by Giannelli-Navarro and Giannelli-Sambale on the number of linear constituents of {\ensuremath{\chi}}P . Although this statement does not hold for arbitrary groups, we conjecture a weaker version which can be seen as an extension of Brauer-Nesbitt's theorem on characters of p-defect zero. It also extends a conjecture of Wilde.},
            issn = {0021-8693},
          author = {Rossi, D. and Sambale, B.},
             url = {https://doi.org/10.1016/j.jalgebra.2021.07.034},
        keywords = {p-solvable groups, Character restriction, Linear constituents}
}