{"title":"关于一组三次数域的单位","authors":"K. Kaneko","doi":"10.55937/sut/1415033670","DOIUrl":null,"url":null,"abstract":"We nd the fundamental units of a family of cubic elds introduced by Ishida. Using the family, we also construct a family of biquadratic elds whose 3-class eld tower has length greater than 1. AMS 2010 Mathematics Subject Classication. 11R16, 11R27.","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"30 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2014-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On units of a family of cubic number fields\",\"authors\":\"K. Kaneko\",\"doi\":\"10.55937/sut/1415033670\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We nd the fundamental units of a family of cubic elds introduced by Ishida. Using the family, we also construct a family of biquadratic elds whose 3-class eld tower has length greater than 1. AMS 2010 Mathematics Subject Classication. 11R16, 11R27.\",\"PeriodicalId\":38708,\"journal\":{\"name\":\"SUT Journal of Mathematics\",\"volume\":\"30 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"SUT Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.55937/sut/1415033670\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"SUT Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.55937/sut/1415033670","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
We nd the fundamental units of a family of cubic elds introduced by Ishida. Using the family, we also construct a family of biquadratic elds whose 3-class eld tower has length greater than 1. AMS 2010 Mathematics Subject Classication. 11R16, 11R27.
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