Server 2012 RDP remove access to network discovery

We have both internal users and external users with limited access that remote into a 2012 R2 RDP server.  I want to prevent both groups from being able to see Network when using Explorer.  Actually, I don't care if they see Network - but right now both groups can click on network and it displays all of our servers, which both users can then access.

I have a group policy for external users that prevents them from seeing the C drive and this works fine.  They can still use My Documents which is ok.  And our internal users can have access to the mapped drives that they normally have access to on their pc's.  

I've found several articles that say change this or that in group policy, but so far nothing has worked.  Can someone tell me how to prevent users from being able to go into the network/servers/drives.
cindyfillerDirector of ITAsked:
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cindyfillerDirector of ITAuthor Commented:
I had already done the first suggestion.  I'd read about the 2nd suggestion but so far haven't been able to find function discovery.
Here is a link for you from Microsoft's MSDN network.

Scroll down to Disabling Network Discovery

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cindyfillerDirector of ITAuthor Commented:
I had done multiple things in the article already and none of them worked.  But that last item (a registry change) worked great.  You have no idea how much this is appreciated!
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