Discreteness criteria and algebraic convergence theorem for subgroups in $\mathit{PU}(1,n;C)$

Wensheng Cao; Xiantao Wang

doi:10.3792/pjaa.82.49

Translator Disclaimer

March 2006 Discreteness criteria and algebraic convergence theorem for subgroups in $\mathit{PU}(1,n;C)$

Wensheng Cao, Xiantao Wang

Proc. Japan Acad. Ser. A Math. Sci. 82(3): 49-52 (March 2006). DOI: 10.3792/pjaa.82.49

Abstract

In this paper, we will study the discreteness criterion for non-elementary subgroups in $\mathit{PU}(1,n;C)$. Several discreteness criteria are obtained. As an application, the convergence theorem of discrete subgroups in $\mathit{PU}(1,n;C)$ is discussed.

Citation

Download Citation

Wensheng Cao. Xiantao Wang. "Discreteness criteria and algebraic convergence theorem for subgroups in $\mathit{PU}(1,n;C)$." Proc. Japan Acad. Ser. A Math. Sci. 82 (3) 49 - 52, March 2006. https://doi.org/10.3792/pjaa.82.49