Felipe, María José
Tiep, Pham Huu
AffiliationUniv Arizona, Dept Math
MetadataShow full item record
PublisherAMER MATHEMATICAL SOC
CitationNilpotent and abelian Hall subgroups in finite groups 2015, 368 (4):2497 Transactions of the American Mathematical Society
RightsCopyright © 2015 American Mathematical Society. First published in Trans. Amer. Math. Soc. 368 (April 2016), published by the American Mathematical Society.
Collection InformationThis item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at firstname.lastname@example.org.
AbstractWe give a characterization of the finite groups having nilpotent or abelian Hall pi-subgroups that can easily be verified using the character table.
NoteArticle electronically published on July 10, 2015.
VersionFinal accepted manuscript
SponsorsThe research of the first, second, fourth, fifth, and sixth authors was supported by the Prometeo/Generalitat Valenciana, Proyectos MTM2010-15296, MTM2010-19938-C03-02 Fundacio Bancaixa P11B2010-47 and Fondos Feder. The third author gratefully acknowledges financial support by ERC Advanced Grant 291512. The seventh author was supported by the NSA (grant H98230-13-1-0229). The eighth author gratefully acknowledges the support of the NSF (grants DMS-0901241 and DMS-1201374).