@article{b757de402bea4cb2a8101a2bc220cbbe,
title = "Irreducible induction and nilpotent subgroups in finite groups",
abstract = "Suppose that G is a finite group and H is a nilpotent subgroup of G. If a character of H induces an irreducible character of G, then the generalized Fitting subgroup of G is nilpotent.",
keywords = "Induction, Irreducible character, Nilpotent subgroup, Simple group",
author = "Zolt{\'a}n Halasi and Attila Mar{\'o}ti and Gabriel Navarro and Tiep, {Pham Huu}",
note = "Funding Information: The work of the first and second authors on the project leading to this application has received funding from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (grant agreement No. 741420). Their work was partly supported by the Nemzeti Kutat?si Fejleszt?si ?s Innov?ci?s Hivatal (NKFIH) Grant No. K115799. They were also supported by the J?nos Bolyai Research Scholarship of the Hungarian Academy of Sciences.The research of the third author is supported by the Prometeo/Generalitat Valenciana, Proyecto MTM2016-76196-P and FEDER funds.The fourth author gratefully acknowledges the support of the NSF (grant DMS-1840702). Funding Information: The work of the first and second authors on the project leading to this application has received funding from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (grant agreement No. 741420). Their work was partly supported by the Nemzeti Kutat{\'a}si Fejleszt{\'e}si {\'e}s Innov{\'a}ci{\'o}s Hivatal (NKFIH) Grant No. K115799. They were also supported by the J{\'a}nos Bolyai Research Scholarship of the Hungarian Academy of Sciences.The research of the third author is supported by the Prometeo/Generalitat Valenciana, Proyecto MTM2016-76196-P and FEDER funds.The fourth author gratefully acknowledges the support of the NSF (grant DMS-1840702). Publisher Copyright: {\textcopyright} 2019 Elsevier Inc.",
year = "2020",
month = nov,
day = "1",
doi = "10.1016/j.jalgebra.2019.05.009",
language = "English (US)",
volume = "561",
pages = "200--214",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Academic Press Inc.",
}