论$PSL(2,\mathbb{C})$中的薄赫克洛德群和广义三角形群｝

arXiv - MATH - Group Theory Pub Date : 2024-09-06 DOI:arxiv-2409.04438

Alex Elzenaar, Gaven Martin, Jeroen Schillewaert

{"title":"论$PSL(2,\\mathbb{C})$中的薄赫克洛德群和广义三角形群｝","authors":"Alex Elzenaar, Gaven Martin, Jeroen Schillewaert","doi":"arxiv-2409.04438","DOIUrl":null,"url":null,"abstract":"We provide a brief overview of our upcoming work identifying all the thin\nHeckoid groups in $PSL(2,\\mathbb{C})$. Here we give a complete list of the $55$\nthin generalised triangle groups of slope $1/2$. This work was presented at the\nconference Computational Aspects of Thin Groups, IMSS, Singapore and presents\nan application of joint work initiated with Colin Maclachlan","PeriodicalId":501037,"journal":{"name":"arXiv - MATH - Group Theory","volume":"71 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Thin Heckoid and Generalised Triangle Groups in $PSL(2,\\\\mathbb{C})$}\",\"authors\":\"Alex Elzenaar, Gaven Martin, Jeroen Schillewaert\",\"doi\":\"arxiv-2409.04438\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We provide a brief overview of our upcoming work identifying all the thin\\nHeckoid groups in $PSL(2,\\\\mathbb{C})$. Here we give a complete list of the $55$\\nthin generalised triangle groups of slope $1/2$. This work was presented at the\\nconference Computational Aspects of Thin Groups, IMSS, Singapore and presents\\nan application of joint work initiated with Colin Maclachlan\",\"PeriodicalId\":501037,\"journal\":{\"name\":\"arXiv - MATH - Group Theory\",\"volume\":\"71 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Group Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.04438\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Group Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.04438","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

我们简要概述了即将开展的工作，即识别 $PSL(2,\mathbb{C})$ 中的所有薄壁群。在此，我们给出了斜率为 1/2$ 的 55 个薄广义三角形群的完整列表。这项工作是在新加坡国际数学与空间科学学会薄群计算会议上发表的，是与科林-麦克拉伦（Colin Maclachlan）共同发起的工作的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

On Thin Heckoid and Generalised Triangle Groups in $PSL(2,\mathbb{C})$}

We provide a brief overview of our upcoming work identifying all the thin Heckoid groups in $PSL(2,\mathbb{C})$. Here we give a complete list of the $55$ thin generalised triangle groups of slope $1/2$. This work was presented at the conference Computational Aspects of Thin Groups, IMSS, Singapore and presents an application of joint work initiated with Colin Maclachlan

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

arXiv - MATH - Group Theory

自引率

0.00%

发文量