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Class JSci.maths.groups.CyclicGroup 

java.lang.Object
   |
   +----JSci.maths.DiscreteSet
           |
           +----JSci.maths.groups.DiscreteGroup
                   |
                   +----JSci.maths.groups.CyclicGroup
public final class CyclicGroup
extends DiscreteGroup
The CyclicGroup class represents the nth order cyclic group. Elements are represented by strings.

Constructor Index

o CyclicGroup(int)
Constructs a cyclic group.

Method Index

o compose(Object, Object)
The group composition law.
o identity()
Returns the identity element.
o inverse(Object)
Returns the inverse element.

Constructors

o CyclicGroup 
 public CyclicGroup(int n)
Constructs a cyclic group.

Parameters:
n - order of group

Methods

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

Parameters:
a - a group element
b - a group element
Overrides:
compose in class DiscreteGroup
o identity 
 public Object identity()
Returns the identity element.

Overrides:
identity in class DiscreteGroup
o inverse 
 public Object inverse(Object a)
Returns the inverse element.

Overrides:
inverse in class DiscreteGroup 
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