Weakly characteristic sub-APS
From Apstheory
This article defines terminology that is local to the wiki. For its use outside the wiki, please give full definitions
This article describes a property that can be evaluated for a sub-APS of an APS of groups
Contents |
[edit] Definition
A sub-APS Failed to parse (Can't write to or create math temp directory): H
of an APS of groups Failed to parse (Can't write to or create math temp directory): G is said to be weakly characteristic if any APS automorphism of Failed to parse (Can't write to or create math temp directory): G takes Failed to parse (Can't write to or create math temp directory): H to within itself. Note that this is weaker than the condition of being a characteristic APS, where we in fact demand that every automorphism of every member should preserve the corresponding subgroup.