JSci.maths.groups

Class FiniteGroup

java.lang.Object

JSci.maths.groups.FiniteGroup

All Implemented Interfaces:

Group, Monoid

Direct Known Subclasses:

CyclicGroup, DihedralGroup, QuaternionGroup

public abstract class FiniteGroup
extends java.lang.Object
implements Group

Superclass for finite groups.

Version:

1.0

Author:

Mark Hale

Nested Class Summary

Nested classes/interfaces inherited from interface JSci.maths.groups.Group

Group.Member

Field Summary

Fields

Modifier and Type	Field and Description
protected int	order

Constructor Summary

Constructors

Constructor and Description
FiniteGroup(int n) Constructs a finite group.

Method Summary

Methods

Modifier and Type	Method and Description
abstract Group.Member[]	getElements() Returns the elements of this group.
int	order() Returns the order (the number of group elements) of this group.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Methods inherited from interface JSci.maths.groups.Group

isInverse

Methods inherited from interface JSci.maths.groups.Monoid

identity, isIdentity

Field Detail

order

protected final int order

Constructor Detail

FiniteGroup

public FiniteGroup(int n)

Constructs a finite group.

Parameters:

n - the order of the group

Method Detail

getElements

public abstract Group.Member[] getElements()

Returns the elements of this group.

order

public final int order()

Returns the order (the number of group elements) of this group.