Discreteness Criterion for Subgroups in PU(1; n;C)

YANG Juan, WANG hua

doi:10.13371/j.cnki.chin.q.j.m.2018.02.010

Chinese Quarterly Journal of Mathematics >

2018 , Vol. 33 >Issue 2: 194 - 198

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2018.02.010

Discreteness Criterion for Subgroups in PU(1; n;C)

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School of Mathematics Sciences, Kaili University . School of Mathematics and Computing Science, Changsha University of Science and Technology.

YANG juan(1982-), Han, Hunan, lecturer, master, major in Complex analysis and Its Applications.

Accepted date: 2015-08-26

Online published: 2020-10-09

Supported by

Supported by the Scientific Research Foundation of Kaili University(Z1519)； Guizhou Province Excellence Teacher Education Program(Mathematics and Applied Mathematics)；

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Abstract

In this paper,the authors introduce the discreteness criterion for n-dimensional subgroups in PU(1, n; C).These generalize the well-known discreteness criterion first established by T.Jorgensen.

Key words： Discreteness criterion; n-dimensional; Subgroups; PU(1; n;C)

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YANG Juan, WANG hua . Discreteness Criterion for Subgroups in PU(1; n;C)[J]. Chinese Quarterly Journal of Mathematics, 2018 , 33(2) : 194 -198 . DOI: 10.13371/j.cnki.chin.q.j.m.2018.02.010

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