{"title":"THE COMMUTATOR SUBGROUP AND CLT(NCLT) GROUPS","authors":"F. Barry","doi":"10.3318/PRIA.2004.104.1.119","DOIUrl":null,"url":null,"abstract":"The commutator subgroup G' can indicate if a finite group G is a CLT (Converse Lagrange's Theorem) group or an NCLT (Non-Converse Lagrange's Theorem) group. We give general results and some examples of their application to groups of small order.","PeriodicalId":434988,"journal":{"name":"Mathematical Proceedings of the Royal Irish Academy","volume":"21 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Proceedings of the Royal Irish Academy","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3318/PRIA.2004.104.1.119","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 9
Abstract
The commutator subgroup G' can indicate if a finite group G is a CLT (Converse Lagrange's Theorem) group or an NCLT (Non-Converse Lagrange's Theorem) group. We give general results and some examples of their application to groups of small order.