{"title":"对第四级辫状群的勘误（J. reine angew.Math.735 (2018), 249-264))","authors":"Tara E. Brendle, Dan Margalit","doi":"10.1515/crelle-2023-0093","DOIUrl":null,"url":null,"abstract":"Abstract The proof of the first statement of Theorem 5.1 of the paper referenced in the title is correct for k = 1 {k=1} and incorrect for k ≥ 2 {k\\geq 2} and should be considered an open problem. As such, the proof of the second statement is not correct for k ≥ 2 {k\\geq 2} .","PeriodicalId":508691,"journal":{"name":"Journal für die reine und angewandte Mathematik (Crelles Journal)","volume":"13 3","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Erratum to The level four braid group (J. reine angew. Math. 735 (2018), 249–264))\",\"authors\":\"Tara E. Brendle, Dan Margalit\",\"doi\":\"10.1515/crelle-2023-0093\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract The proof of the first statement of Theorem 5.1 of the paper referenced in the title is correct for k = 1 {k=1} and incorrect for k ≥ 2 {k\\\\geq 2} and should be considered an open problem. As such, the proof of the second statement is not correct for k ≥ 2 {k\\\\geq 2} .\",\"PeriodicalId\":508691,\"journal\":{\"name\":\"Journal für die reine und angewandte Mathematik (Crelles Journal)\",\"volume\":\"13 3\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-01-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal für die reine und angewandte Mathematik (Crelles Journal)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/crelle-2023-0093\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal für die reine und angewandte Mathematik (Crelles Journal)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/crelle-2023-0093","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
摘要 标题中提到的论文中的定理 5.1 的第一个陈述的证明对于 k = 1 {k=1} 是正确的，而对于 k ≥ 2 {k\geq 2} 则是不正确的，应被视为一个未决问题。因此，对于 k ≥ 2 {k\geq 2} 而言，第二个陈述的证明是不正确的。
Erratum to The level four braid group (J. reine angew. Math. 735 (2018), 249–264))
Abstract The proof of the first statement of Theorem 5.1 of the paper referenced in the title is correct for k = 1 {k=1} and incorrect for k ≥ 2 {k\geq 2} and should be considered an open problem. As such, the proof of the second statement is not correct for k ≥ 2 {k\geq 2} .
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