PrimePowerFactors - Maple Help
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GroupTheory

  

PrimePowerFactors

  

factor a group element as a product of elements of prime power order

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

PrimePowerFactors( g, G )

Parameters

g

-

element of G whose factorization is to be computed

G

-

group containing the element g

Description

• 

For an element  of finite order in a group , the prime power factors of  are elements  of  such that , and such that each  has order equal to a power of a prime number. The elements  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 .

Examples

(1)

(2)

(3)

Compatibility

• 

The GroupTheory[PrimePowerFactors] command was introduced in Maple 2019.

• 

For more information on Maple 2019 changes, see Updates in Maple 2019.

See Also

GroupTheory[ElementOrder]

GroupTheory[SylowSubgroup]

GroupTheory

 


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