For every principal area in Wales there shall be a council consisting of a chairman and councillors.
Where a council falling within subsection (1) are operating executive arrangements which involve a mayor and cabinet executive ..., the council shall consist of an elected mayor, a chairman and councillors.
In such a case, a reference in this Act to a member of a council is a reference to—
Each such council shall be a body corporate and shall have the functions given to them by this Act or otherwise.
Each council for a county in Wales shall have the name of the county with the addition—
Each council for a county borough in Wales shall have the name of the county borough with the addition—
In the case of Abertawe, Caerdydd and Powys subsection (3)(b) above shall have effect as if it required the addition of the words "Cyngor Sir".