Ask the group owner or moderator to send you a bounce probe message, then once you get it, make sure to activate the link at the end. It's worth a shot.
If that doesn't do it, I'd check with your e-mail service provider to see if they're blocking whatever the domain name groups.google.com. This would be very odd, but it's not beyond the realm of possibility.
--
Brian - Windows 10 Pro, 64-Bit, Version 2004, Build 19041
Always remember that computers are just glorified light bulbs - they rarely fail in continuous use and usually go pop when turned off and on.
~ Technician with the username Computer Bloke, on Technibble.com