{"title":"真正的飞机克雷莫纳集团是一个合并的产品","authors":"Susanna Zimmermann","doi":"10.5802/aif.3415","DOIUrl":null,"url":null,"abstract":"We show that the real Cremona group of the plane is a nontrivial amalgam of two groups amalgamated along their intersection and give an alternative proof of its abelianisation.","PeriodicalId":50781,"journal":{"name":"Annales De L Institut Fourier","volume":"1 1","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"The real plane Cremona group is an amalgamated product\",\"authors\":\"Susanna Zimmermann\",\"doi\":\"10.5802/aif.3415\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We show that the real Cremona group of the plane is a nontrivial amalgam of two groups amalgamated along their intersection and give an alternative proof of its abelianisation.\",\"PeriodicalId\":50781,\"journal\":{\"name\":\"Annales De L Institut Fourier\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annales De L Institut Fourier\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.5802/aif.3415\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annales De L Institut Fourier","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.5802/aif.3415","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
The real plane Cremona group is an amalgamated product
We show that the real Cremona group of the plane is a nontrivial amalgam of two groups amalgamated along their intersection and give an alternative proof of its abelianisation.
期刊介绍:
The Annales de l’Institut Fourier aim at publishing original papers of a high level in all fields of mathematics, either in English or in French.
The Editorial Board encourages submission of articles containing an original and important result, or presenting a new proof of a central result in a domain of mathematics. Also, the Annales de l’Institut Fourier being a general purpose journal, highly specialized articles can only be accepted if their exposition makes them accessible to a larger audience.