FIXED POINT RATIOS IN EXCEPTIONAL GROUPS OF RANK AT MOST TWO

ABSTRACT

We obtain upper bounds for the fixed point ratios of the faithful primitive representations of those almost simple finite groups G for which is group of exceptional Lie type of Lie rank 1 or 2. These bounds are shown to be either best possible, or, in the case of very close to best possible.

ACKNOWLEDGMENT

Both authors were supported in part by grants from the National Security Agency.