Allow the owner of a parent group to be able to perform the same operations on the related object as the owners of all other groups the object is a member of

(cherry picked from commit 08eb8adc)

(cherry picked from commit 53af7154)

This includes tests to reproduce the error.

(cherry picked from commit afe611bd)

(cherry picked from commit f6840bb6)

(cherry picked from commit b9f2a338)

(cherry picked from commit f8f23830)