I see this topic come up a lot and I have dealt with the question from auditors too. Unless you have full auditing enabled, the simple answer is no.
Think about this -- a file is writable by the owner and a group - the group contains 1000 users. Auditd is NOT enabled. One of those 1000 users that has the ability to modify the file and indeed they do. Unix checks the perms and verifies that the uid or gid has permission to modify the file. It does, it is allowed. No place in the inode or the directory entry is any information kept on who modified the file. Why? Because it has to be someone that is authorized to do it. Therefore the only way to track this data is to have another process monitor everything users are doing - i.e. "auditd" running, in order to track this. At one point I had an auditor tell me "But tripwire does this." Um, no it does not. Tripwire shows that the file was changed and who the owner of the file is. Based on this, auditors sometimes assume that it was the owner changing the folder, which is not the case. Additionally, if a user has sudo privs to one of the UIDs or GIDs - well, that pretty much throws it all out the window. Take a look at "auditd" and if you are willing to accept the load it may present on your system, then this will solve the question you are asking. Otherwise, you are not going to be able to do it. It is all about understanding what information is stored in an inode and the directory entry. (And the directory entry is minimal -- filename, inode #) cheers Kat