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:	Publisher
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

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