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A campanological problem in group theory

Published online by Cambridge University Press:  24 October 2008

R. A. Rankin
R. A. Rankin
Affiliation:
Clare CollegeCambridge
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Extract

1. The problem investigated in this note was suggested by a study of the mathematical basis of change ringing. Its campanological application is discussed in § 4.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 44 , Issue 1 , January 1948 , pp. 17 - 25
Copyright
Copyright © Cambridge Philosophical Society 1948

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References

* The term peal is generally reserved for touches of 5040 changes on 7 bells, and for touches of at least 5000 changes on 8 or more bells, but we need not adopt this restricted usage here.

* The term change is more correctly used to denote not a permutation upon the bells but the alteration in order between successive permutations.

* Cf. A Note on Grandsire Triples (Cambridge, 1886),Google Scholar and A Diagram of a System of Peals of Union Triples (Cambridge, 1893).Google Scholar A more accessible but less detailed account of Thompson's work will also be found in the Rev. C. D. P. Davies's Appendix to Jasper, Whitfield Snowdon's Grandsire (Leeds, 1905).Google Scholar