{"title":"最小可解非子域","authors":"John W. Jones","doi":"10.1112/S1461157013000077","DOIUrl":null,"url":null,"abstract":"For each solvable Galois group which appears in degree 9 and each allowable signature, we nd polynomials which dene the elds of minimum absolute discriminant.","PeriodicalId":54381,"journal":{"name":"Lms Journal of Computation and Mathematics","volume":"16 1","pages":"130-138"},"PeriodicalIF":0.0000,"publicationDate":"2013-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1112/S1461157013000077","citationCount":"2","resultStr":"{\"title\":\"Minimal solvable nonic fields\",\"authors\":\"John W. Jones\",\"doi\":\"10.1112/S1461157013000077\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"For each solvable Galois group which appears in degree 9 and each allowable signature, we nd polynomials which dene the elds of minimum absolute discriminant.\",\"PeriodicalId\":54381,\"journal\":{\"name\":\"Lms Journal of Computation and Mathematics\",\"volume\":\"16 1\",\"pages\":\"130-138\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1112/S1461157013000077\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Lms Journal of Computation and Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1112/S1461157013000077\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Lms Journal of Computation and Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1112/S1461157013000077","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Mathematics","Score":null,"Total":0}
For each solvable Galois group which appears in degree 9 and each allowable signature, we nd polynomials which dene the elds of minimum absolute discriminant.
期刊介绍:
LMS Journal of Computation and Mathematics has ceased publication. Its final volume is Volume 20 (2017). LMS Journal of Computation and Mathematics is an electronic-only resource that comprises papers on the computational aspects of mathematics, mathematical aspects of computation, and papers in mathematics which benefit from having been published electronically. The journal is refereed to the same high standard as the established LMS journals, and carries a commitment from the LMS to keep it archived into the indefinite future. Access is free until further notice.