GroupTheory
IsPSoluble
attempt to determine whether a group is p-soluble
Calling Sequence
Parameters
Description
Examples
Compatibility
IsPSoluble( p, G )
p
-
: prime : a prime number
G
: PermutationGroup : a finite permutation group
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.
The GroupTheory[IsPSoluble] command was introduced in Maple 2024.
For more information on Maple 2024 changes, see Updates in Maple 2024.
See Also
GroupTheory[IsSoluble]
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