{"title":"四元数的二面化","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":"{\"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}","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}
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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