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arxiv: 1301.6240 · v1 · pith:HK4RPYD4new · submitted 2013-01-26 · 🧮 math.GR

The exact number of r-regular elements in finite exceptional groups

classification 🧮 math.GR
keywords elementsr-regularexceptionalfinitegroupsepsilonnumberproportion
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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 \epsilon>0, there are infinitely finite simple exceptional groups such that the proportion of r-regular elements is less than $3577/18432+\epsilon$ for some prime r.

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