org.tensorics.core.math.structures.grouplike

Interface Group<T>

Type Parameters:

T - the type of the elements of the group

All Superinterfaces:

GrouplikeStructure<T>, Magma<T>, Monoid<T>, Semigroup<T>, Structure<T>

All Known Subinterfaces:

AbelianGroup<T>

All Known Implementing Classes:

AbstractAbelianGroup

public interface Group<T>
extends Monoid<T>

Represents the algebraic structure of a group, which has with respect to a monoid the additional property that it provides a unitary operation, which gives rise to inverse elements.

See Also:

http://en.wikipedia.org/wiki/Group_(mathematics)

Method Summary

Modifier and Type	Method and Description
UnaryOperation<T>	inversion() Has to return the inversion operation for elements.

Methods inherited from interface org.tensorics.core.math.structures.grouplike.Monoid

identity

Methods inherited from interface org.tensorics.core.math.structures.grouplike.Semigroup

operation

Method Detail

inversion

UnaryOperation<T> inversion()

Has to return the inversion operation for elements.

Returns:

the inversion operation