GroupTheory/IsPSoluble - Maple Help
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GroupTheory

  

IsPSoluble

  

attempt to determine whether a group is p-soluble

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

IsPSoluble( p, G )

Parameters

p

-

: prime : a prime number

G

-

: PermutationGroup : a finite permutation group

Description

• 

For a prime number , a finite group  is -soluble if it has a subnormal series every quotient of which is either a -group or has order coprime to .

• 

Every finite soluble group is -soluble for every prime number .

• 

The IsPSoluble( p, G ) command returns true if the group G is -soluble and returns the value false if it is not.

• 

The group G must be an instance of a permutation group.

Examples

(1)

(2)

(3)

(4)

(5)

(6)

Compatibility

• 

The GroupTheory[IsPSoluble] command was introduced in Maple 2024.

• 

For more information on Maple 2024 changes, see Updates in Maple 2024.

See Also

GroupTheory

GroupTheory[IsSoluble]

 


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