{"title":"一个部分可交换Metabelian群中中心子的交集","authors":"E. I. Timoshenko","doi":"10.1007/s10469-023-09701-6","DOIUrl":null,"url":null,"abstract":"<div><div><p>For a partially commutative metabelian group, necessary and sufficient conditions on a defining graph are found under which the intersection of centralizers of two distinct vertices of the graph and the commutator subgroup is trivial.</p></div></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Intersection of Centralizers in a Partially Commutative Metabelian Group\",\"authors\":\"E. I. Timoshenko\",\"doi\":\"10.1007/s10469-023-09701-6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div><p>For a partially commutative metabelian group, necessary and sufficient conditions on a defining graph are found under which the intersection of centralizers of two distinct vertices of the graph and the commutator subgroup is trivial.</p></div></div>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2023-04-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10469-023-09701-6\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10469-023-09701-6","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Intersection of Centralizers in a Partially Commutative Metabelian Group
For a partially commutative metabelian group, necessary and sufficient conditions on a defining graph are found under which the intersection of centralizers of two distinct vertices of the graph and the commutator subgroup is trivial.
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