Welcome to my St Andrews homepage. This page is under construction (and probably always will be!)
I am a halftime Professor in the School of Mathematics and Statistics at the University of St Andrews, and an Emeritus Professor of Mathematics at Queen Mary, University of London.
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School of Mathematics and Statistics
University of St Andrews North Haugh St Andrews, Fife KY16 9SS SCOTLAND 
Tel.: +44 (0)1334 463769 Fax: +44 (0)1334 46 3748 Email: pjc20(at)starthurs(dot)ac(dot)uk [oops – wrong saint!] 
Page revised 4 September 2015 
Let G be a finite simple group. Is the following true?
Let x and y be elements of G having the property that, for any element z of G, if ⟨x,z⟩ = G, then also ⟨y,z⟩ = G, and conversely. Let u and v be any two elements of G. Then, if ⟨x,u,v⟩ = G, then also ⟨y,u,v⟩ = G, and conversely.
Old problems are kept here.