{"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}
引用次数: 0
Abstract
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.
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