(a) An unincorporated association, joint stock company, or other group which has a recognized group name may sue or be sued in the group name on any cause of action affecting the common property, rights, and liabilities of the group.

(b) An action under this section:

(1) Has the same force and effect with respect to the common property, rights, and liabilities of the group as if all members of the group were joined; and

(2) Does not abate because of any change of membership in the group or its dissolution.