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| Interface Summary | |
| AbelianGroup | This interface defines an abelian group. | 
| AbelianGroup.Member | This interface defines a member of an abelian group. | 
| Group | This interface defines a group. | 
| Group.Member | This interface defines a member of a group. | 
| Monoid | This interface defines a monoid. | 
| Monoid.Member | This interface defines a member of a monoid. | 
| Semigroup | This interface defines a semigroup. | 
| Semigroup.Member | This interface defines a member of a semigroup. | 
| Class Summary | |
| CyclicGroup | The CyclicGroup class represents the nth cyclic group. | 
| DihedralGroup | The DihedralGroup class represents the nth dihedral group. | 
| FiniteGroup | Superclass for finite groups. | 
| LieGroup | The LieGroup class provides an encapsulation for Lie groups. | 
| QuaternionGroup | The QuaternionGroup class represents the quaternion group. | 
| U1 | The U1 class provides an encapsulation for U(1) groups. | 
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