public Coset <T> Combine(Coset <T> H)
{
if (Group != H.Group)
{
throw new Exception();
}
return(new Coset <T>()
{
Group = Group,
Element = Group.Op(Element, H.Element),
Name = Name
});
}
public bool Equals(Coset <T> obj)
{
if (ReferenceEquals(obj, null))
{
return(false);
}
if (ReferenceEquals(obj, this))
{
return(true);
}
if (obj.GetType() != GetType())
{
return(false);
}
return
(Group.Set == obj.Group.Set
&&
Group.Op == obj.Group.Op
&&
Element.Equals(obj.Element));
}