Peter Cameron's homepage

Welcome to my St Andrews homepage. Under construction This page is under construction (and probably always will be!)

I am a half-time 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)st-arthurs(dot)ac(dot)uk
  [oops – wrong saint!]





Page revised 10 August 2015

A problem

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.