Nilpotent and abelian Hall subgroups in finite groups

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Author
Beltrán, Antonio
Felipe, María José
Malle, Gunter
Moretó, Alexander
Navarro, Gabriel
Sanus, Lucia
Solomon, Ronald
Tiep, Pham Huu
Affiliation
Univ Arizona, Dept Math
Issue Date
2015-07-10

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Publisher
AMER MATHEMATICAL SOC
Citation
Nilpotent and abelian Hall subgroups in finite groups 2015, 368 (4):2497 Transactions of the American Mathematical Society
Journal
Transactions of the American Mathematical Society
Rights
Copyright © 2015 American Mathematical Society. First published in Trans. Amer. Math. Soc. 368 (April 2016), published by the American Mathematical Society.
Collection Information
This 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 repository@u.library.arizona.edu.
Abstract
We give a characterization of the finite groups having nilpotent or abelian Hall pi-subgroups that can easily be verified using the character table.
Note
Article electronically published on July 10, 2015.
ISSN
0002-9947
1088-6850
DOI
10.1090/tran/6381
Version
Final accepted manuscript
Sponsors
The 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).
Additional Links
http://www.ams.org/tran/2016-368-04/S0002-9947-2015-06381-8/
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