GroupTheory
PCore
construct the p-core of a group
Calling Sequence
Parameters
Description
Examples
Compatibility
PCore( p, G )
p
-
prime number
G
a permutation group
The -core of a group is the largest normal -subgroup of , where is a prime integer. It is equal to the intersection of the Sylow -subgroups of , which is, in turn, equal to the core of any one Sylow -subgroup.
The PCore( p, G ) command constructs the p-core of a group G. The group G must be an instance of a permutation group.
The GroupTheory[PCore] command was introduced in Maple 17.
For more information on Maple 17 changes, see Updates in Maple 17.
See Also
GroupTheory[AlternatingGroup]
GroupTheory[Core]
GroupTheory[FittingSubgroup]
GroupTheory[PermutationGroup]
GroupTheory[SylowSubgroup]
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