New Upper Bounds On The Spreads of the Sporadic Simple Groups

Abstract

We give improved upper bounds on the exact spreads of many of the larger sporadic simple groups, in some cases improving on the best known upper bound by several orders of magnitude.

Key Words:

• Exact spread
• Sporadic simple group

2000 Mathematics Subject Classification:

• 20D08
• 20C15

ACKNOWLEDGMENTS

The author wishes to express his deepest gratitude to Professor Jamshid Moori for introducing him to the concept of spread in the first place and to the referee for making suggestions that resulted in substantial improvements to this article.

Notes

Communicated by L. Small.