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Complex hyperbolic triangle groups of type m,m,0;n1,n2,2
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Journal Article
Complex hyperbolic triangle groups of type m,m,0;n1,n2,2
2025
Overview
In this paper we study discreteness of complex hyperbolic triangle groups of type
[
m
,
m
,
0
;
n
1
,
n
2
,
2
]
, i.e. groups of isometries of the complex hyperbolic plane generated by three complex reflections of orders
n
1
,
n
2
,
2
in complex geodesics with pairwise distances
m
,
m
, 0. For fixed
m
, the parameter space of such groups is of real dimension one. We determine the possible orders for
n
1
and
n
2
and also intervals in the parameter space that correspond to discrete and non-discrete triangle groups.
Publisher
Springer Netherlands,Springer Nature B.V
