MURAL - Maynooth University Research Archive Library



    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

    [thumbnail of JM-Frobenius-Schur-2019.pdf]
    Preview
    Text
    JM-Frobenius-Schur-2019.pdf

    Download (236kB) | Preview

    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: 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
    Related URLs:
    URI: https://mural.maynoothuniversity.ie/id/eprint/13521
    Use Licence: This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

    Repository Staff Only (login required)

    Item control page
    Item control page

    Downloads

    Downloads per month over past year

    Origin of downloads