[r-t] Hudson stuff

David Lynch mary at lynches.demon.co.uk
Mon Sep 20 22:03:30 UTC 2004

In article <i4c4x2.arn8l0 at webmail.changeringing.co.uk>, Graham John
<graham at changeringing.co.uk> writes
>How many ringing problems have actually been solved by the direct application
>of group theory as opposed to original analysis and thought? 


        I don't think that these are mutually exclusive, since the
direct application of group theory may involve original analysis and
thought. But I have a paper which should count as "direct application of
group theory" ...

        Professor Rankin used group theory to prove the impossibility of
bobs only peals in methods having certain properties. He was not a
ringer, but had some interest (and his daughter rings in this area).
Special cases of Grandsire and Union Triples had been already proved by
ringers using "original analysis and thought": this paper gives a more
general result.  
David Lynch

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