You may be canceling the "group" calendar event versus just canceling on your own calendar.
Worked with this all some time back. Had one individual responsible for scheduling meetings for other staff without that person being a "participant" per se. Do not remember having the calendar issue that you are experiencing.
If your name appears at the top of the email list of potential/invited attendees can you uncheck the email beside your name and thus not have the event emailed to you nor scheduled for you?
Are you using the Meeting tab and Scheduling options in Outlook? Do you have access to or are otherwise able to see the other participants' schedules? Can you or do you see the meeting room schedules and availability via Outlook?
I also remember that we treated some individuals (as well as equipment and spaces) as resources. I.e., emailed the conference room and reserved the date and time. Something like that.
There may be some dependencies with respect to your granted rights in Outlook - being able to schedule for other people/resources versus just sending emails with the subject, location, time, and date information.
Experiment a bit more if you can. I will do a bit more research and see if I can find/recall some "specifics" that will help.
Thanks. My name does not appear at the top of the email list, so I cannot cancel the meeting on my calendar only There is no meeting "tab". I'm using the Home "tab" then clicking new meeting/ and scheduling assistant....still no luck.