algebra::Group< Operation, Element > Struct Template Reference
[Concepts]

Concept Group. More...

#include <algebraic_concepts.hpp>

Inheritance diagram for algebra::Group< Operation, Element >:
algebra::Monoid< Operation, Element > algebra::Inversion< Operation, Element > algebra::SemiGroup< Operation, Element > algebra::Associative< Operation, Element > algebra::AbelianGroup< Operation, Element >

List of all members.


Detailed Description

template<typename Operation, typename Element>
struct algebra::Group< Operation, Element >

Concept Group.

Parameters:
Operation A functor implementing a binary operation
Element The type upon the binary operation is defined
Refinement of:
Notation:
op Object of type Operation
x Object of type Element
Invariant:
Inverse from right op( x, inverse(op, x) ) == identity(op, x)
Inverse from left op( inverse(op, x), x ) == identity(op, x)

The documentation for this struct was generated from the following file:
 All Classes Namespaces Functions Variables Typedefs Enumerations Friends
Generated by  doxygen 1.6.2-20100208