Nilpotent and abelian Hall subgroups in finite groups

Persistent Link:
http://hdl.handle.net/10150/614976
Title:
Nilpotent and abelian Hall subgroups in finite groups
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
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:
First published in Trans. Amer. Math. Soc. 368 (April 2016), published by the American Mathematical Society. Copyright 2015 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/

Full metadata record

DC FieldValue Language
dc.contributor.authorBeltrán, Antonioen
dc.contributor.authorFelipe, María Joséen
dc.contributor.authorMalle, Gunteren
dc.contributor.authorMoretó, Alexanderen
dc.contributor.authorNavarro, Gabrielen
dc.contributor.authorSanus, Luciaen
dc.contributor.authorSolomon, Ronalden
dc.contributor.authorTiep, Pham Huuen
dc.date.accessioned2016-06-28T23:45:52Z-
dc.date.available2016-06-28T23:45:52Z-
dc.date.issued2015-07-10-
dc.identifier.citationNilpotent and abelian Hall subgroups in finite groups 2015, 368 (4):2497 Transactions of the American Mathematical Societyen
dc.identifier.issn0002-9947-
dc.identifier.issn1088-6850-
dc.identifier.doi10.1090/tran/6381-
dc.identifier.urihttp://hdl.handle.net/10150/614976-
dc.description.abstractWe give a characterization of the finite groups having nilpotent or abelian Hall pi-subgroups that can easily be verified using the character table.en
dc.description.sponsorshipThe 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).en
dc.language.isoenen
dc.publisherAMER MATHEMATICAL SOCen
dc.relation.urlhttp://www.ams.org/tran/2016-368-04/S0002-9947-2015-06381-8/en
dc.rightsFirst published in Trans. Amer. Math. Soc. 368 (April 2016), published by the American Mathematical Society. Copyright 2015 American Mathematical Societyen
dc.titleNilpotent and abelian Hall subgroups in finite groupsen
dc.typeArticleen
dc.contributor.departmentUniv Arizona, Dept Mathen
dc.identifier.journalTransactions of the American Mathematical Societyen
dc.description.noteArticle electronically published on July 10, 2015.en
dc.description.collectioninformationThis 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.en
dc.eprint.versionFinal accepted manuscripten
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