The exact number of r-regular elements in finite exceptional groups
Abstract
We calculate the precise number of r-regular elements in the finite exceptional groups. As a corollary we find that the proportion of r-regular elements is at least 3577/18432 and for all ε>0, there are infinitely finite simple exceptional groups such that the proportion of r-regular elements is less than 3577/18432+ε for some prime r.
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