{"title":"几何伽罗瓦群的计算与绝对分解","authors":"Nicole Sutherland","doi":"10.1145/3338637.3338650","DOIUrl":null,"url":null,"abstract":"An algorithm being developed to compute geometric Galois groups of polynomials over Q(t) is discussed. This algorithm also computes a field extension such that the factorization of a polynomial over this field extension is the absolute factorization of the polynomial.","PeriodicalId":7093,"journal":{"name":"ACM Commun. Comput. Algebra","volume":"91 1","pages":"151-153"},"PeriodicalIF":0.0000,"publicationDate":"2019-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Computation of geometric Galois groups and absolute factorizations\",\"authors\":\"Nicole Sutherland\",\"doi\":\"10.1145/3338637.3338650\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An algorithm being developed to compute geometric Galois groups of polynomials over Q(t) is discussed. This algorithm also computes a field extension such that the factorization of a polynomial over this field extension is the absolute factorization of the polynomial.\",\"PeriodicalId\":7093,\"journal\":{\"name\":\"ACM Commun. Comput. Algebra\",\"volume\":\"91 1\",\"pages\":\"151-153\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-05-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ACM Commun. Comput. Algebra\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/3338637.3338650\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACM Commun. Comput. Algebra","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/3338637.3338650","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Computation of geometric Galois groups and absolute factorizations
An algorithm being developed to compute geometric Galois groups of polynomials over Q(t) is discussed. This algorithm also computes a field extension such that the factorization of a polynomial over this field extension is the absolute factorization of the polynomial.