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    Frobenius-Schur indicators of characters in blocks with cyclic defect


    Murray, John (2019) Frobenius-Schur indicators of characters in blocks with cyclic defect. Journal of Algebra, 533. pp. 90-105. ISSN 0021-8693

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    Abstract

    Consider a real block with cyclic defect of a finite group for an odd prime. We show that the exceptional characters have the same Frobenius-Schur indicators. Moreover the common value can be computed using the canonical character of the block. We also prove some results about the Frobenius-Schur indicators of the non-exceptional characters. If a finite group has cyclic Sylow p-subgroups, where pis an odd prime, we show that the number of irreducible characters with Frobenius-Schur indicator −1is greater than or equal to the number of conjugacy classes of weakly real p-elements

    Item Type: Article
    Additional Information: This preprint version of the published article is available at arXiv:1901.06297 [math.GR].
    Keywords: Representations of finite groups; block theory; cyclic defect group; frobenius-schur indicators;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 13521
    Identification Number: https://doi.org/10.1016/j.jalgebra.2019.04.037
    Depositing User: Dr. John Murray
    Date Deposited: 11 Nov 2020 16:29
    Journal or Publication Title: Journal of Algebra
    Publisher: Elsevier
    Refereed: Yes
    URI:

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