{"title":"$\\Gamma_0(N)$规格化器的亚轨道图中的三角形","authors":"Nazlı Yazıcı Gözütok, B. Ö. Güler","doi":"10.19184/IJC.2020.4.2.1","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we investigate a suborbital graph for the normalizer of Γ<sub>0(<em>N</em>)</sub> ∈ PSL(2;<em>R</em>), where <em>N</em> will be of the form 2<sup>4</sup><em>p</em><sup>2</sup> such that <em>p</em> > 3 is a prime number. Then we give edge and circuit conditions on graphs arising from the non-transitive action of the normalizer.</p>","PeriodicalId":13506,"journal":{"name":"Indonesian Journal of Combinatorics","volume":"125 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Triangles in the suborbital graphs of the normalizer of $\\\\Gamma_0(N)$\",\"authors\":\"Nazlı Yazıcı Gözütok, B. Ö. Güler\",\"doi\":\"10.19184/IJC.2020.4.2.1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In this paper, we investigate a suborbital graph for the normalizer of Γ<sub>0(<em>N</em>)</sub> ∈ PSL(2;<em>R</em>), where <em>N</em> will be of the form 2<sup>4</sup><em>p</em><sup>2</sup> such that <em>p</em> > 3 is a prime number. Then we give edge and circuit conditions on graphs arising from the non-transitive action of the normalizer.</p>\",\"PeriodicalId\":13506,\"journal\":{\"name\":\"Indonesian Journal of Combinatorics\",\"volume\":\"125 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-12-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Indonesian Journal of Combinatorics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.19184/IJC.2020.4.2.1\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Indonesian Journal of Combinatorics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.19184/IJC.2020.4.2.1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Triangles in the suborbital graphs of the normalizer of $\Gamma_0(N)$
In this paper, we investigate a suborbital graph for the normalizer of Γ0(N) ∈ PSL(2;R), where N will be of the form 24p2 such that p > 3 is a prime number. Then we give edge and circuit conditions on graphs arising from the non-transitive action of the normalizer.
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