{"title":"计算群论中的分治法","authors":"G. Butler","doi":"10.1145/32439.32451","DOIUrl":null,"url":null,"abstract":"The paradigm of divide-and-conquer appears in five guises in computational group theory: <italic>Subgroup Restriction, Subgroup Lifting, Extension, Normal Lifting,</italic> and <italic>Homomorphic Lifting</italic>. The building blocks for these strategies are algorithms for <italic>subgroup construction, coset enumeration,</italic> and <italic>homomorphisms</italic>.","PeriodicalId":314618,"journal":{"name":"Symposium on Symbolic and Algebraic Manipulation","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1986-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Divide-and-conquer in computational group theory\",\"authors\":\"G. Butler\",\"doi\":\"10.1145/32439.32451\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paradigm of divide-and-conquer appears in five guises in computational group theory: <italic>Subgroup Restriction, Subgroup Lifting, Extension, Normal Lifting,</italic> and <italic>Homomorphic Lifting</italic>. The building blocks for these strategies are algorithms for <italic>subgroup construction, coset enumeration,</italic> and <italic>homomorphisms</italic>.\",\"PeriodicalId\":314618,\"journal\":{\"name\":\"Symposium on Symbolic and Algebraic Manipulation\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1986-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Symposium on Symbolic and Algebraic Manipulation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/32439.32451\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Symposium on Symbolic and Algebraic Manipulation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/32439.32451","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The paradigm of divide-and-conquer appears in five guises in computational group theory: Subgroup Restriction, Subgroup Lifting, Extension, Normal Lifting, and Homomorphic Lifting. The building blocks for these strategies are algorithms for subgroup construction, coset enumeration, and homomorphisms.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
