Are Users allowed to change names of the Segments created by the Admins or the filters in a segment, trying to look for a better Governance structure.
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A given user can access his own segments & the segments that have been shared with that user by other users.More info here - https://marketing.adobe.com/resources/help/en_US/analytics/segment/t_seg_share.html
If you want to customize which particular user group creates segment, check this https://marketing.adobe.com/resources/help/en_US/reference/groups-analytics-tools.html
Hope, it helps out.