Map foreign key in Fluent NHibernate without object property

My question is, is there a possible Fluent NHibernate mapping for Parent and Child objects that does not require the Child object to have a Parent object property? I haven't figured out how to map the reference back to the Parent. When I call Create with the mappings as-is, I get an exception because the Child object does not have the required foreign key (required in the data store) back to the Parent.

I have two POCO classes:

public class Parent
{
    public virtual int Id { get; set; }
    public virtual string Name { get; set; }
    public virtual IList<Child> Childs { get; set; }
}

public class Child
{
    public virtual int Id { get; set; }
    public virtual string Name { get; set; }
    public virtual int ParentId { get; set; }
}

And some mappings:

public class ParentMap : ClassMap<Parent>
{
    public ParentMap()
    {
        this.Table("Parents");
        this.Id(x => x.Id);
        this.Map(x => x.Name);
        this.HasMany(x => x.Childs).KeyColumn("ChildId").Cascade.AllDeleteOrphan();
    }
}

public class ChildMap : ClassMap<Child>
{
    public ChildMap()
    {
        this.Table("Childs");
        this.Id(x => x.Id);
        this.Map(x => x.Name);
        // Needs some sort of mapping back to the Parent for "Child.ParentId"
    }
}

And Create method:

    public Parent Create(Parent  t)
    {
         using (this.session.BeginTransaction())
         {
             this.session.Save(t);
             this.session.Transaction.Commit();
         }
        return t;
    }

I want to be able to create a Parent object that has a list of Child objects, but not have the Child objects have references back to their Parent (other than the Parent ID). I want to do this to avoid the circular reference from Parent to a list of Childs back to the Parent object, since that is causing issues with JSON serialization.