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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: | 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://mu.eprints-hosting.org/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 |
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