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Ringing the cosets. II

Published online by Cambridge University Press:  24 October 2008

Arthur T. White
Arthur T. White
Affiliation:
Western Michigan University, Kalamazoo, Michigan 49008, U.S.A.
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Abstract

Hamiltonian circuits with associated word an n-cycle, in Schreier right coset graphs for symmetric groups Sn mod cyclic groups Zn, correspond to change ringing principles on n bells for which the plain course is the extent; that is, neither bobs nor singles are required. This connection is made explicit for the general case, and then specialized to the cases n = 4 (minimus) and n= 5 (doubles). In particular, all 102 no-call doubles principles on three generators are found and catalogued.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 105 , Issue 1 , January 1989 , pp. 53 - 65
Copyright
Copyright © Cambridge Philosophical Society 1989

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