This answer will depend on a few variables so would like to collect some additional information in order to confirm your inquiry.
1. What version of Jive is your community running?
2. Are you referring to a notification generated because of the move, notifications on future updates to that content or both?
Jesse Fuller thanks for your response.
To answer your questions:
1. Jive Cloud
2. The followers of the group get notified whenever new content becomes available on the group. So my question is that after I move the content to the group from someone's personal discussion space, would the group followers receive a notification saying like "New notification posted in group..." even though that content was posted earlier on someone's discussion space?
Thanks for the update. In Jive cloud this would depend on whether the user clicks the "show location change in steams" option.
If selected user following the group should receive a notification. If left unselected they would only see notifications if new updates to the content occur (ie someone posts a comment).