TREBLE DODGING MINOR METHODS - RINGING THE COSETS, ON 6 BELLS

A general theory is developed to analyze Treble Dodging methods, for c hange ringing extents, on n = 2 (mod4) bells, and then specialized to six bells, by means of Schreier right coset graphs of comparatively lo w order. The theory is then applied to the eight Treble Bob Minor meth ods, the six Delight Minor methods, and the fifteen Surprise Minor met hods that appear in the book Diagrams. In each case all possible exten ts of the form [W(P, B)]m are obtained and exhibited, where P and B de note the plain and bob leads, respectively, and W(P, B) is a word in t hese two letters. This application is then extended to all 152 Treble Dodging methods appearing in Collection of Minor Methods, Fifth Editio n and beyond, to the classification and construction of additional Tre ble Dodging minor methods, as appearing in Collection of Minor Methods , Sixth Edition and in Treble Dodging Minor Methods.