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    Finite groups with odd Sylow normalizers

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    Author
    Guralnick, Robert M.
    Navarro, Gabriel
    Tiep, Pham Huu
    Affiliation
    Univ Arizona, Dept Math
    Issue Date
    2016-06-10
    Keywords
    McKay conjecture
    Alperin's weight conjecture
    Sylow normalizers
    
    Metadata
    Show full item record
    Publisher
    AMER MATHEMATICAL SOC
    Citation
    Finite groups with odd Sylow normalizers 2016, 144 (12):5129 Proceedings of the American Mathematical Society
    Journal
    Proceedings of the American Mathematical Society
    Rights
    © Copyright 2016 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 determine the non-abelian composition factors of the finite groups with Sylow normalizers of odd order. As a consequence, among others, we prove the McKay conjecture and the Alperin weight conjecture for these groups at these primes.
    ISSN
    0002-9939
    1088-6826
    DOI
    10.1090/proc/13223
    Version
    Final accepted manuscript
    Sponsors
    NSF [DMS-1302886, DMS-1201374]; Prometeo/Generalitat Valenciana [MTM2013-40464-P]; Simons Foundation Fellowship [305247]
    Additional Links
    http://www.ams.org/proc/2016-144-12/S0002-9939-2016-13223-1/
    ae974a485f413a2113503eed53cd6c53
    10.1090/proc/13223
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