public final class DihedralGroup extends FiniteGroup
order
Constructor and Description |
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DihedralGroup(int n)
Constructs a dihedral group.
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Modifier and Type | Method and Description |
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boolean |
equals(java.lang.Object o)
Returns true if this group is isomorphic to another.
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Group.Member[] |
getElements()
Returns the elements of this group.
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Monoid.Member |
identity()
Returns the identity element.
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boolean |
isIdentity(Monoid.Member a)
Returns true if the element is the identity element of this group.
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boolean |
isInverse(Group.Member a,
Group.Member b)
Returns true if one element is the inverse of the other.
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java.lang.String |
toString() |
order
public DihedralGroup(int n)
n
- the number of rotations/reflectionspublic boolean equals(java.lang.Object o)
equals
in class java.lang.Object
public java.lang.String toString()
toString
in class java.lang.Object
public Group.Member[] getElements()
getElements
in class FiniteGroup
public Monoid.Member identity()
public boolean isIdentity(Monoid.Member a)
a
- a group elementpublic boolean isInverse(Group.Member a, Group.Member b)
a
- a group elementb
- a group element