cannot get rid of Norton

Did you consider contacting its developer for assistance: Contact a third-party vendor - Apple Support?

If they do not / cannot / will not help, the following is what I have recommended for others in similar circumstances:

Removing Symantec programs for Macintosh by using the RemoveSymantecMacFiles removal utility

Uninstall Norton device security on Mac 

Goes without saying, don't do anything without a backup.

Back up your files with Time Machine on Mac - Apple Support

1. Open your terminal
2. run: [ cd /Library/Applications ] (this changed directory to Applications)
3. once in that folder run: [ ls | grep -i Norton ] (this searches for anything matching the Char pattern “Norton” ignoring case)
4. When you locate the exact file/application in that folder run [ sudo rm -rf “Norton” ] (replacing the file name “Norton” with exactly what was showed in previous steps output; you will be asked for your user password to unlock the laptop, type it in and the folder and contents will be deleted.

*****WARNING ****

BE CAREFUL RUNNING THE rm -rf command

ALWAYS ENSURE ITS THE EXACT PATH YOU WANT DELETED AND NOTHING ELSE AS ITS DESTRUCTIVE

You should follow Norton's instructions for uninstalling their software. Most developers either provide an uninstall option within the app itself, or will provide a separate uninstall utility from the developer's website (I'm not sure of Norton's website these days since the company was split in two some years ago, but you should have the information within the app itself).

Here is an Apple article with some information for uninstalling apps as well:

Delete or uninstall apps on Mac - Apple Support

FYI, there is no need to run any anti-virus software, cleaning/optimizer apps, or third party security software on a Mac. These types of apps usually cause more problems than they solve because they interfere with the normal operation of macOS at a low level. Plus some of these apps are selling your personal information. macOS already has great built-in security especially when users also practice safe computing habits as outlined in the following article:

Effective defenses against malware and other threats - Apple Community

A manual deletion of stuff using the command line as suggested by @Data_Trip should be a last resort. In fact, I would say you should use the Finder to review those items before using the Finder itself to delete them. It is Ok to use the command line to locate all references to an item, but I don't recommend the average user to use the command line to mass delete things. A couple of the regular forum contributors have recommended the third party app Find Any File to locate these items which is much safer than using the command line (I've never used this app).

Plus sometimes you may have another app by that developer installed which may share some of the same resources, so you could corrupt something in that developer's other app.

I am glad to see @Data_Trip did highlight the risk of using the command line to delete items, because there are no safety nets when using the command line. Mistyping just one character could be the difference between success & utter disaster....even for people with years of experience using the command line.

Definitely make sure to have a good backup before manually deleting anything even when using the Finder. People should always have frequent & regular backups of their computer and all external media (including the cloud) which contains important & unique data. There are a lot more new ways to permanently lose access to the data stored on the internal SSD of the recent Macs due to all of the hardware, software, and security changes.