Package sage :: Package structure :: Module element :: Class MultiplicativeGroupElement

Class MultiplicativeGroupElement

            object --+            
                     |            
sage_object.SageObject --+        
                         |        
                   Element --+    
                             |    
                 MonoidElement --+
                                 |
                                MultiplicativeGroupElement

Known Subclasses:: groups.matrix_gps.matrix_group_element.MatrixGroupElement, groups.perm_gps.permgroup_element.PermutationGroupElement, groups.abelian_gps.abelian_group_element.AbelianGroupElement, rings.number_field.class_group.FractionalIdealClass, modular.dirichlet.DirichletCharacter, modular.congroup_element.CongruenceSubgroupElement

File: sage/structure/element.pyx (starting at line 1182)

Generic element of a multiplicative group.

Instance Methods

[hide private]

__div__(...)
File: sage/structure/element.pyx (starting at line 1195)

__invert__(...)
File: sage/structure/element.pyx (starting at line 1227)

__new__(T, S, ...)

__rdiv__(x, y)
y/x

_add_(...)
File: sage/structure/element.pyx (starting at line 1192)

_div_(...)
File: sage/structure/element.pyx (starting at line 1220) Python classes should override this function to implement division.

order(...)
File: sage/structure/element.pyx (starting at line 1186) Return the multiplicative order of self.

Inherited from MonoidElement: __mul__, __nonzero__, __pow__, __rmul__, __rpow__, _mul_, multiplicative_order

Inherited from Element: __cmp__, __eq__, __ge__, __gt__, __hash__, __init__, __le__, __lt__, __ne__, __reduce__, __rxor__, __xor__, _cmp_, _im_gens_, _repr_, _richcmp_, base_base_extend, base_base_extend_canonical_sym, base_extend, base_extend_canonical, base_extend_canonical_sym, base_extend_recursive, base_ring, category, is_zero, n, parent, subs, substitute

Inherited from Element (private): _coeff_repr, _is_atomic, _latex_coeff_repr, _make_new_with_parent_c, _set_parent

Inherited from sage_object.SageObject: __repr__, _axiom_, _axiom_init_, _gap_, _gap_init_, _gp_, _gp_init_, _interface_, _interface_init_, _interface_is_cached_, _kash_, _kash_init_, _macaulay2_, _macaulay2_init_, _magma_, _magma_init_, _maple_, _maple_init_, _mathematica_, _mathematica_init_, _maxima_, _maxima_init_, _octave_, _octave_init_, _pari_, _pari_init_, _r_init_, _sage_, _singular_, _singular_init_, db, dump, dumps, plot, rename, reset_name, save, version

Inherited from object: __delattr__, __getattribute__, __reduce_ex__, __setattr__, __str__

Properties

[hide private]

Inherited from object: __class__

Method Details

[hide private]

new(T, S, ...)

Returns:

a new object with type S, a subtype of T

Overrides: MonoidElement.__new__

order(...)

File: sage/structure/element.pyx (starting at line 1186)

Return the multiplicative order of self.

Overrides: MonoidElement.order