GroupTheory[GaloisGroup] - Maple Help

Online Help

All Products    Maple    MapleSim


Home : Support : Online Help : Mathematics : Group Theory : GroupTheory package : GroupTheory/GaloisGroup

GroupTheory[GaloisGroup]

Calling Sequence

GaloisGroup( p, x )

Parameters

p

-

: polynom : an irreducible polynomial in x over the rationals, or over Q(t1,t2,...,tk), for some indeterminates t1,...,tk.

x

-

: name : an indeterminate

Description

• 

The GaloisGroup command returns the Galois group of a polynomial p over the field  of rational numbers, or over the rational function field, t1,t1,,tk as a permutation group.  Since the polynomial p is required to be irreducible, the resulting permutation group is transitive.

• 

The degree of p may be at most 9 in the univariate case, and at most 8 in the multivariate case.

Examples

withGroupTheory:

G:=GaloisGroupx5x+1,x

G:=Galx5x+1,x

(1)

GroupOrderG

120

(2)

IsTransitiveG

true

(3)

See Also

galois, GroupTheory[GroupOrder], GroupTheory[IsTransitive], GroupTheory[PermutationGroup]


Download Help Document

Was this information helpful?



Please add your Comment (Optional)
E-mail Address (Optional)
What is ? This question helps us to combat spam