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    Alperin–McKay natural correspondences in solvable and symmetric groups for the prime p = 2


    Giannelli, Eugenio and Murray, John and Tent, Joan (2018) Alperin–McKay natural correspondences in solvable and symmetric groups for the prime p = 2. Annali di Matematica, 197. pp. 999-1016. ISSN 0373-3114

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    Abstract

    Let G be a finite solvable or symmetric group, and let B be a 2-block of G. We construct a canonical correspondence between the irreducible characters of height zero in B and those in its Brauer first main correspondent. For symmetric groups our bijection is compatible with restriction of characters.

    Item Type: Article
    Keywords: Alperin-McKay conjecture; Symmetric groups; Solvable groups; Restriction of characters;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 13089
    Identification Number: https://doi.org/10.1007/s10231-017-0712-x
    Depositing User: Dr. John Murray
    Date Deposited: 23 Jun 2020 14:37
    Journal or Publication Title: Annali di Matematica
    Publisher: Springer Science+Business Media
    Refereed: Yes
    URI:

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