Test Map and Discreteness Criteria for Subgroups in PU(1,n;C)

Details Test Map and Discreteness Criteria for Subgroups in PU(1,n;C) Test Map and Discreteness Criteria for Subgroups in PU(1,n;C)

2011-11-22

arxiv.org/abs/1111.5125v1

Mathematics

Complex Variables

9 pages

Scientific paper

We study the discreteness for non-elementary subgroup G in PU(1, n;C), under
the assumption that G satisfies Condition A. Mainly, we present that one can
use a test map, which need not to be in G, to examine the discreteness of G,
and also show that G is discrete, if every two-loxodromic-generator subgroup of
G is discrete.

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