Where is \\.\GLOBALROOTSystem

John, we haven't received any new ticket submitted under your account.
Do you mean that the app that you have mentioned here could be the reason for the issue as discussed in https://support.avg.com/answers?id=9060N000000gAKY ?

I don't know what is app. In System Explorer I have seen that connection from System. I have shared internet conection from my PC by wi-fi access point.

Hello Paul,

We will check and help you with it. Please share the screenshot http://support.avg.com/SupportArticleView?urlname=Create-screenshot of that detection popup with full path to have better understanding.

Click on "See Details" at the bottom right of detected popup to view its full path.

AVG blocked connection by reason CVE-2017-0144 and reported about \.\GLOBALROOTSystem path, but where is it?

John, do you mean that this https://play.google.com/store/apps/details?id=com.glbenchmark.glbenchmark27&hl=en_US app is a malicious file?
If yes, then submit a ticket to our mobile team by following below mentioned steps:
Click on this link: https://support.avg.com/support_contact_form?l=&retUrl=support_sales .
Select the option as "YES" and the operating system as "ANDROID".
Fill in the details along with the app link that you mentioned here and click on the option "answer via email".
Once your request is submitted you will be getting the prompt answer via email from our mobile team.

I have sent this apk (https://play.google.com/store/apps/details?id=com.glbenchmark.glbenchmark27&hl=en_US) through your web form. I suspect it as reason of this issue and EternalBlue exploit inside. Can you report to me about results?

Hello Paul,

We will check and help you with it. Please share the screenshot http://support.avg.com/SupportArticleView?urlname=Create-screenshot of that detection popup with full path to have better understanding.

Click on "See Details" at the bottom right of detected popup to view its full path.

I have sent a com.glbenchmark.glbenchmark27.apk file by Report malicious sample to check. I has deteled this app from my tablet and while AVG didn't detect CVE-2017-0144 again.

John, For your info, just in case that you are unaware, you can post the screenshot here in your topic. Click on 'Answer' & then click on the 'Image' [mountain symbol] & follow the instructions. 
AVG Guru

John, we could see the posted image here.
Our case history shows that you have contacted our technical chat support and the agent asked you to submit the application for whitelist.
Since the file size is 50 MB, you have mentioned that you will not be able to do it.
In this case, you can visit this https://www.virustotal.com/#/home/upload website and click on "Choose File".
Upload the application file and the results will be displayed.
Provide the URL of the results page here to proceed further.

I don't know what is app. In System Explorer I have seen that connection from System. I have shared internet conection from my PC by wi-fi access point.

John, 
I have sent you an email with the link to get connected with our remote technicians to collect log files required for escalation. Please follow that email and you should be able to resolve the issue.

EternalBlue