{"title":"Dihedralizing the Quaternions","authors":"Matthew Macauley","doi":"10.1080/00029890.2023.2298656","DOIUrl":null,"url":null,"abstract":"In this paper, we will take the classic dihedral and quaternion groups and explore questions like “what if we replace i=e2πi/4 in Q8 with a larger root of unity?” and “what if we add a reflection...","PeriodicalId":501497,"journal":{"name":"The American Mathematical Monthly","volume":"34 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The American Mathematical Monthly","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/00029890.2023.2298656","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we will take the classic dihedral and quaternion groups and explore questions like “what if we replace i=e2πi/4 in Q8 with a larger root of unity?” and “what if we add a reflection...
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