两个椭圆四元数mÖbius变换的自由积

IF 0.5 4区数学 Q3 MATHEMATICS Osaka Journal of Mathematics Pub Date : 2017-04-01 DOI:10.18910/61891

W. Cao

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引用次数: 0

摘要

想那f和g是二号elliptic quaternionic M¨obius transformations of命令M和n respectively。如果《ﬁ之间距离hyperbolicδ(f, g) x (f)条和cosh xﬁ萨蒂(g)ﬁ冰δ(f, g)≥因为ππn + 1,因为sinπm辛πn,然后《集团(cid 4: 3) f, g (cid)是discrete non-elementary和同构免费广告(cid》:3)f (cid 3: 4)∗(cid) g (cid: 4)。

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FREE PRODUCT OF TWO ELLIPTIC QUATERNIONIC MÖBIUS TRANSFORMATIONS

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) .

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来源期刊

Osaka Journal of Mathematics 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Osaka Journal of Mathematics is published quarterly by the joint editorship of the Department of Mathematics, Graduate School of Science, Osaka University, and the Department of Mathematics, Faculty of Science, Osaka City University and the Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University with the cooperation of the Department of Mathematical Sciences, Faculty of Engineering Science, Osaka University. The Journal is devoted entirely to the publication of original works in pure and applied mathematics.