%0 Journal Article %1 White1993307 %A White, Arthur T. %D 1993 %J Discrete Mathematics %K Gruppen Musik MaMu Mathematik %N 1-3 %P 307 - 323 %R DOI: 10.1016/0012-365X(93)90304-C %T Treble dodging minor methods: ringing the cosets, on six bells %U http://www.sciencedirect.com/science/article/B6V00-45FKV0M-32/2/066b6b8c284be8c285a7c300b2cbc3b0 %V 122 %X A general theory is developed to analyze Treble Dodging methods, for change ringing extents, on nreverse not equivalent2 (mod 4) bells, and then specialized to six bells, by means of Schreier right coset graphs of comparatively low order. The theory is then applied to the eight Treble Bob Minor methods, the six Delight Minor methods, and the fifteen Surprise Minor methods that appear in the book Diagrams. In each case all possible extents of the form W(P,B)m are obtained and exhibited, where P and B denote the plain and bob leads, respectively, and W(P,B) is a word in these two letters. This application is then extended to all 152 Treble Dodging methods appearing in Collection of Minor Methods, Fifth Edition and beyond, to the classification and construction of additional Treble Dodging minor methods, as appearing in Collection of Minor Methods, Sixth Edition and in Treble Dodging Minor Methods.

@article{White1993307, abstract = {A general theory is developed to analyze Treble Dodging methods, for change ringing extents, on n[reverse not equivalent]2 (mod 4) bells, and then specialized to six bells, by means of Schreier right coset graphs of comparatively low order. The theory is then applied to the eight Treble Bob Minor methods, the six Delight Minor methods, and the fifteen Surprise Minor methods that appear in the book Diagrams. In each case all possible extents of the form [W(P,B)]m are obtained and exhibited, where P and B denote the plain and bob leads, respectively, and W(P,B) is a word in these two letters. This application is then extended to all 152 Treble Dodging methods appearing in Collection of Minor Methods, Fifth Edition and beyond, to the classification and construction of additional Treble Dodging minor methods, as appearing in Collection of Minor Methods, Sixth Edition and in Treble Dodging Minor Methods.}, added-at = {2013-02-02T14:42:43.000+0100}, author = {White, Arthur T.}, biburl = {https://www.bibsonomy.org/bibtex/2d7a466e32e1f44d6117dfb67fc4aaa67/ks-plugin-devel}, doi = {DOI: 10.1016/0012-365X(93)90304-C}, groups = {public}, interhash = {f2afb12e0dc4e1774e9f7a2e4f7525d1}, intrahash = {d7a466e32e1f44d6117dfb67fc4aaa67}, issn = {0012-365X}, journal = {Discrete Mathematics}, keywords = {Gruppen Musik MaMu Mathematik}, number = {1-3}, pages = {307 - 323}, timestamp = {2013-02-02T14:42:43.000+0100}, title = {Treble dodging minor methods: ringing the cosets, on six bells}, url = {http://www.sciencedirect.com/science/article/B6V00-45FKV0M-32/2/066b6b8c284be8c285a7c300b2cbc3b0}, username = {keinstein}, volume = 122, year = 1993 }