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 26 May 2015

A problem

For which pairs (G,M), where G is a non-abelian simple group and M a maximal subgroup of G, is the following true?

For any element g outside M, there exists h in M such that g and h generate G.
This is true for all maximals if G is PSL(2,7) or PSL(2,11), and fails only for the smallest maximal if G is PSL(2,q) for q=5, 8, 9, or 13.

Old problems are kept here.