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Interface JSci.maths.groups.Group

public interface Group
This interface defines a 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.

Methods

o compose 
 public abstract Object compose(Object a,
                                Object b)
The group composition law.

Parameters:
a - a group element
b - a group element
o identity 
 public abstract Object identity()
Returns the identity element.

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

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

Parameters:
a - a group element
o isInverse 
 public abstract 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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