Could it be posible to get an Alert message when it's our turn to make a move. Some Group vs Group game are so slow that members tend to forget to visit the group page on time.

That sounds like a useful suggestion!
Here is another idea: create an option to make the move immediately when all team members have voted. Speeds up the game a bit while still allowing discussion time if needed.

you should be getting alerts in your alerts panel. are you not?

I never get alerts for Group vote chess games.

Me neither.

The setting page for alerts it says:

"GROUPS: new forum posts, news, notes, and photos in my groups"

(it would be nice if also "my turn in vote chess games" would be added)

I get the alerts.  :)

I get the alets as well in my chess.com inbox.

I get alerts for new comments (well, most of the time), but not for when it is my turn to move... and with longer games where noone has commented I sometimes forget.

I get alerts also in the alert panel, but just in case I tack every vote match, that way all comments made, I'm aware straight away!

It might be this that needs checked:

ONLINE CHESS: my move, low on time, game challenge, etc.

:)

 That is a great idea.  :)

I see, but I don't want alerts on "my move" in my regular games, that just drives me nuts! Only in my vote chess games please.

 Oh ok.  :)  Looks like it would need its own special check mark.  :)