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Class JSci.maths.groups.DiscreteGroup 

java.lang.Object
   |
   +----JSci.maths.DiscreteSet
           |
           +----JSci.maths.groups.DiscreteGroup
public abstract class DiscreteGroup
extends DiscreteSet
implements Group
The DiscreteGroup class provides an abstract encapsulation for discrete groups.

Constructor Index

o DiscreteGroup(String)
Constructs a discrete group.

Method Index

o compose(Object, Object)
The group composition law.
o identity()
Returns the identity element.
o inverse(Object)
Returns the inverse element.
o isIdentity(Object)
Returns true if the element is the identity element of this group.
o isInverse(Object, Object)
Returns true if one element is the inverse of the other.

Constructors

o DiscreteGroup 
 public DiscreteGroup(String label)
Constructs a discrete group.

Parameters:
label - a label that identifies this group

Methods

o inverse 
 public Object inverse(Object a)
Returns the inverse element.

o isIdentity 
 public final boolean isIdentity(Object a)
Returns true if the element is the identity element of this group.

Parameters:
a - a group element
o isInverse 
 public final boolean isInverse(Object a,
                                Object b)
Returns true if one element is the inverse of the other.

Parameters:
a - a group element
b - a group element 
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