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Improved Bounds for the Spread of Sporadic Groups

Published online by Cambridge University Press:  01 February 2010

J. D. Bradley  and
P. E. Holmes
J. D. Bradley
Affiliation:
National University of Rwanda, Butare, Rwanda, [email protected]
P. E. Holmes
Affiliation:
DPMMS, Centre for Mathematical Sciences, Cambridge CB3 OBW, United Kingdom, [email protected]

Abstract

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The spread of a group G is the greatest number r such that, for every set of non-trivial elements {x1,…,xr}, there exists an element y with the property that 〈xi, y〉 = G for 1 ≤ i ≤ r. In this paper we obtain good upper bounds for the spread of fourteen sporadic simple groups computationally, and we determine the value of the spread of M11 by hand.

Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 10 , 2007 , pp. 132 - 140
Copyright
Copyright © London Mathematical Society 2007

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