{"title":"从共轭数据中提升N∞操作","authors":"Scott Balchin, Ethan MacBrough, Kyle Ormsby","doi":"10.2140/tunis.2023.5.479","DOIUrl":null,"url":null,"abstract":"We isolate a class of groups -- called lossless groups -- for which homotopy classes of $G$-$N_\\infty$ operads are in bijection with certain restricted transfer systems on the poset of conjugacy classes $\\operatorname{Sub}(G)/G$.","PeriodicalId":36030,"journal":{"name":"Tunisian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2023-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Lifting N∞ operads from conjugacy data\",\"authors\":\"Scott Balchin, Ethan MacBrough, Kyle Ormsby\",\"doi\":\"10.2140/tunis.2023.5.479\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We isolate a class of groups -- called lossless groups -- for which homotopy classes of $G$-$N_\\\\infty$ operads are in bijection with certain restricted transfer systems on the poset of conjugacy classes $\\\\operatorname{Sub}(G)/G$.\",\"PeriodicalId\":36030,\"journal\":{\"name\":\"Tunisian Journal of Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2023-11-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Tunisian Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2140/tunis.2023.5.479\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Tunisian Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2140/tunis.2023.5.479","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
We isolate a class of groups -- called lossless groups -- for which homotopy classes of $G$-$N_\infty$ operads are in bijection with certain restricted transfer systems on the poset of conjugacy classes $\operatorname{Sub}(G)/G$.
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