{"title":"FREE PRODUCT OF TWO ELLIPTIC QUATERNIONIC MÖBIUS TRANSFORMATIONS","authors":"W. Cao","doi":"10.18910/61891","DOIUrl":null,"url":null,"abstract":"Suppose that f and g are two elliptic quaternionic M¨obius transformations of orders m and n respectively. If the hyperbolic distance δ ( f , g ) between fix( f ) and fix( g ) satisfies cosh δ ( f , g ) ≥ cos π m cos π n + 1 sin π m sin π n , then the group (cid:3) f , g (cid:4) is discrete non-elementary and isomorphic to the free product (cid:3) f (cid:4) ∗ (cid:3) g (cid:4) .","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2017-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.18910/61891","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Suppose that f and g are two elliptic quaternionic M¨obius transformations of orders m and n respectively. If the hyperbolic distance δ ( f , g ) between fix( f ) and fix( g ) satisfies cosh δ ( f , g ) ≥ cos π m cos π n + 1 sin π m sin π n , then the group (cid:3) f , g (cid:4) is discrete non-elementary and isomorphic to the free product (cid:3) f (cid:4) ∗ (cid:3) g (cid:4) .
分享
京公网安备 11010802042870号
京ICP备2023020795号-1
求助内容：
应助结果提醒方式：
扫码关注我们
