An orbifold fundamental group is the fundamental group defined using orbifold charts, which retains local stabilizer information
along singular strata. For a smooth connected complex variety 
with a smooth connected divisor 
assigned finite multiplicity 
,
the root-orbifold group is
 |
where 
is a meridian about 
and the double brackets denote its normal closure. Unlike
the ordinary group of 
, this quotient can retain a nontrivial meridian of finite
order.
