As per the doc for 9.0 version, the browse permission for private projects allow the following
** Browse : Access a project; browse its measures, issues, and Security Hotspots; perform some issue edits (confirm/resolve/reopen, assignment, comment); comment on or change the user assigned to a Security Hotspot.*
But for a user who is not a project administrator, I couldnt find the issue resolve option.
I guess by “issue resolve option” you mean the ability to mark an issue False Positive or Won’t Fix? If so, that’s a separate permission: Administer Issues.
Even in that case the documentation for Browse doesnt seem to be complete. If the user only has browse permission and not administer issues then he/she cant resolve the issue. So the info text is more accurate. Please see the screenshot below for a sonar-user with no administer-issues permission