{"title":"Achiral words","authors":"Shrinit Singh, A. Satyanarayana Reddy","doi":"10.1080/00927872.2024.2377805","DOIUrl":null,"url":null,"abstract":"A word w in a free group is achiral if for every group G, Gw=Gw−1, where Gw is the image of the word map w on G. We give few classes of examples of achiral words. We prove that all words in F2 of l...","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Achiral words\",\"authors\":\"Shrinit Singh, A. Satyanarayana Reddy\",\"doi\":\"10.1080/00927872.2024.2377805\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A word w in a free group is achiral if for every group G, Gw=Gw−1, where Gw is the image of the word map w on G. We give few classes of examples of achiral words. We prove that all words in F2 of l...\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-08-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/00927872.2024.2377805\",\"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://doi.org/10.1080/00927872.2024.2377805","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
如果对每个群 G 而言，Gw=Gw-1，其中 Gw 是词映射 w 在 G 上的映像，那么自由群中的词 w 就是非手性的。我们证明了 F2 中所有词的长...
A word w in a free group is achiral if for every group G, Gw=Gw−1, where Gw is the image of the word map w on G. We give few classes of examples of achiral words. We prove that all words in F2 of l...
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