Automorphism RΒΆ

ore.spad line 292

Automorphism R is the multiplicative group of automorphisms of R.

1: %
from MagmaWithUnit
*: (%, %) -> %
from Magma
/: (%, %) -> %
from Group
=: (%, %) -> Boolean
from BasicType
^: (%, Integer) -> %
from Group
^: (%, NonNegativeInteger) -> %
from MagmaWithUnit
^: (%, PositiveInteger) -> %
from Magma
~=: (%, %) -> Boolean
from BasicType
coerce: % -> OutputForm
from CoercibleTo OutputForm
commutator: (%, %) -> %
from Group
conjugate: (%, %) -> %
from Group
elt: (%, R) -> R
from Eltable(R, R)
hash: % -> SingleInteger
from SetCategory
hashUpdate!: (HashState, %) -> HashState
from SetCategory
inv: % -> %
from Group
latex: % -> String
from SetCategory
leftPower: (%, NonNegativeInteger) -> %
from MagmaWithUnit
leftPower: (%, PositiveInteger) -> %
from Magma
leftRecip: % -> Union(%, failed)
from MagmaWithUnit
morphism: (R -> R, R -> R) -> %
morphism(f, g) returns the invertible morphism given by f, where g is the inverse of f..
morphism: (R, Integer) -> R -> %
morphism(f) returns the morphism given by f^n(x) = f(x, n).
morphism: R -> R -> %
morphism(f) returns the non-invertible morphism given by f.
one?: % -> Boolean
from MagmaWithUnit
recip: % -> Union(%, failed)
from MagmaWithUnit
rightPower: (%, NonNegativeInteger) -> %
from MagmaWithUnit
rightPower: (%, PositiveInteger) -> %
from Magma
rightRecip: % -> Union(%, failed)
from MagmaWithUnit
sample: %
from MagmaWithUnit

BasicType

CoercibleTo OutputForm

Eltable(R, R)

Group

Magma

MagmaWithUnit

Monoid

SemiGroup

SetCategory

unitsKnown