{"title":"换向子群和clt (nclt)群","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":"{\"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}","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}
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.
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