{"title":"Milnor对于有限生成的相对自由的局部分级群体的替代方案","authors":"W. Hołubowski, O. Macedońska","doi":"10.4171/rsmup/46","DOIUrl":null,"url":null,"abstract":"Let G be a finitely generated relatively free group that is locally graded. We show that either G contains a non-trivial free subsemigroup or G is nilpotent-by-finite.","PeriodicalId":20997,"journal":{"name":"Rendiconti del Seminario Matematico della Università di Padova","volume":"73 1","pages":"247-250"},"PeriodicalIF":0.0000,"publicationDate":"2020-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Milnor’s alternative for finitely generated relatively free groups that are locally graded\",\"authors\":\"W. Hołubowski, O. Macedońska\",\"doi\":\"10.4171/rsmup/46\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let G be a finitely generated relatively free group that is locally graded. We show that either G contains a non-trivial free subsemigroup or G is nilpotent-by-finite.\",\"PeriodicalId\":20997,\"journal\":{\"name\":\"Rendiconti del Seminario Matematico della Università di Padova\",\"volume\":\"73 1\",\"pages\":\"247-250\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-05-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Rendiconti del Seminario Matematico della Università di Padova\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4171/rsmup/46\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Rendiconti del Seminario Matematico della Università di Padova","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4171/rsmup/46","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Milnor’s alternative for finitely generated relatively free groups that are locally graded
Let G be a finitely generated relatively free group that is locally graded. We show that either G contains a non-trivial free subsemigroup or G is nilpotent-by-finite.
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