Automorph-permutable subgroup
From Groupprops
This article defines a subgroup property: a property that can be evaluated to true/false given a group and a subgroup thereof, invariant under subgroup equivalence. View a complete list of subgroup properties[SHOW MORE]
This is a variation of permutability|Find other variations of permutability |
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Definition
Symbol-free definition
A subgroup of a group is termed automorph-permutable if it permutes with any subgroup obtained as the image of it under an automorphism of the whole group.
Definition with symbols
A subgroup of a group
is termed automorph-permutable if for any automorphism
of
,
.