factor a group element as a product of elements of prime power order
PrimePowerFactors( g, G )
element of G whose factorization is to be computed
group containing the element g
For an element g of finite order in a group G, the prime power factors of g are elements g1,g2,..,gk of G such that g=g1·g2..gk, and such that each gi has order equal to a power of a prime number. The elements gi are pairwise commutative, and are uniquely determined up to the order in which they occur.
The PrimePowerFactors( g, G ) command computes the prime power factors of the group element g.
f ≔ PrimePowerFactors⁡Perm⁡1,2,3,4,5,6,Symm⁡6
The GroupTheory[PrimePowerFactors] command was introduced in Maple 2019.
For more information on Maple 2019 changes, see Updates in Maple 2019.
Download Help Document