public void GetSubgroupsOfCyclicGroupSeven()
{
IGroup group = new GeneratedGroup(Element.CreateRotation(7));
IEnumerable <IGroup> subgroups = GroupUtilities.GetSubgroups(group);
Assert.IsNotNull(subgroups);
Assert.AreEqual(2, subgroups.Count());
}
public void GetSubgroupsOfMinimalGroup()
{
IGroup group = new SymmetricGroup(2);
IEnumerable <IGroup> subgroups = GroupUtilities.GetSubgroups(group);
Assert.IsNotNull(subgroups);
Assert.AreEqual(2, subgroups.Count());
}
public void GetSubgroupsOfSymetricGroupFour()
{
IGroup group = new SymmetricGroup(4);
IEnumerable <IGroup> subgroups = GroupUtilities.GetSubgroups(group);
Assert.IsNotNull(subgroups);
Assert.AreEqual(30, subgroups.Count());
}
public void SubgroupsIncludesIdentityAndTotalGroup()
{
IGroup group = new SymmetricGroup(3);
IGroup id = new GeneratedGroup(Element.CreateIdentity(3));
IEnumerable <IGroup> subgroups = GroupUtilities.GetSubgroups(group);
Assert.IsTrue(subgroups.Contains(id));
Assert.IsTrue(subgroups.Contains(group));
}