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October 2016 Conjugacy class and discreteness in $\mathit{SL}(2, \mathbb{C})$
Shihai Yang, Tiehong Zhao
Osaka J. Math. 53(4): 1047-1053 (October 2016).

Abstract

In this note we establish a new discreteness criterion for a non-elementary group $G$ in $\mathit{SL}(2, \mathbb{C})$. Namely, $G$ is discrete if all the two-generator subgroups are discrete, where one generator is a non-trivial element $f$ in $G$, and the other is in the conjugacy class of $f$.

Citation

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Shihai Yang. Tiehong Zhao. "Conjugacy class and discreteness in $\mathit{SL}(2, \mathbb{C})$." Osaka J. Math. 53 (4) 1047 - 1053, October 2016.

Information

Published: October 2016
First available in Project Euclid: 4 October 2016

zbMATH: 1358.30017
MathSciNet: MR3554856

Subjects:
Primary: 20H10, 30C62, 30F40

Rights: Copyright © 2016 Osaka University and Osaka City University, Departments of Mathematics

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Vol.53 • No. 4 • October 2016
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