T. Breuer , L. Héthelyi , E. Horváth, B. Külshammer
{"title":"有限群的直径为3的Frobenius图","authors":"T. Breuer , L. Héthelyi , E. Horváth, B. Külshammer","doi":"10.1016/j.jalgebra.2024.11.014","DOIUrl":null,"url":null,"abstract":"<div><div>For a subgroup <em>H</em> of a finite group <em>G</em>, the Frobenius graph <span><math><mi>Γ</mi><mo>(</mo><mi>G</mi><mo>,</mo><mi>H</mi><mo>)</mo></math></span> records the constituents of the restrictions to <em>H</em> of the irreducible characters of <em>G</em>. We investigate when this graph has diameter 3.</div></div>","PeriodicalId":14888,"journal":{"name":"Journal of Algebra","volume":"666 ","pages":"Pages 507-529"},"PeriodicalIF":0.8000,"publicationDate":"2025-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Frobenius graphs of diameter 3 for finite groups\",\"authors\":\"T. Breuer , L. Héthelyi , E. Horváth, B. Külshammer\",\"doi\":\"10.1016/j.jalgebra.2024.11.014\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>For a subgroup <em>H</em> of a finite group <em>G</em>, the Frobenius graph <span><math><mi>Γ</mi><mo>(</mo><mi>G</mi><mo>,</mo><mi>H</mi><mo>)</mo></math></span> records the constituents of the restrictions to <em>H</em> of the irreducible characters of <em>G</em>. We investigate when this graph has diameter 3.</div></div>\",\"PeriodicalId\":14888,\"journal\":{\"name\":\"Journal of Algebra\",\"volume\":\"666 \",\"pages\":\"Pages 507-529\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2025-03-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Algebra\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0021869324006355\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"2024/12/6 0:00:00\",\"PubModel\":\"Epub\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Algebra","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0021869324006355","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2024/12/6 0:00:00","PubModel":"Epub","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
On Frobenius graphs of diameter 3 for finite groups
For a subgroup H of a finite group G, the Frobenius graph records the constituents of the restrictions to H of the irreducible characters of G. We investigate when this graph has diameter 3.
期刊介绍:
The Journal of Algebra is a leading international journal and publishes papers that demonstrate high quality research results in algebra and related computational aspects. Only the very best and most interesting papers are to be considered for publication in the journal. With this in mind, it is important that the contribution offer a substantial result that will have a lasting effect upon the field. The journal also seeks work that presents innovative techniques that offer promising results for future research.