Since the trees are tall, it is quite possible that they cannot be removed without council permission. Where I am (ACT) there is a tree protection act and any tree above a certain height is automatically a ‘regulated tree’ and permission is required to remove it. Legal penalties apply if one damages or removes a regulated tree without permission from our local government. The act specifies the criteria by which permission to remove can be given. The presumption is that large trees are protected and you have to make a convincing case for their removal. I would check to see if you have something similar where you are. One phone call should be enough.
If the trees are on common property, then the owners corporation would have to approve their removal. Even if those who want to remove the trees were to apply for permission to remove them and received that permission, they would not be able to removed them. Only the land owner could do that. The land owner is the owners corporation, not any individual members of the owners corporation.