Divisibility condition on Sylow numbers

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This article gives the statement, and possibly proof, of a constraint on numerical invariants that can be associated with a finite group

This article states a result of the form that one natural number divides another. Specifically, the (number) of a/an/the (Sylow subgroup) divides the (index) of a/an/the (Sylow subgroup).
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Suppose G is a finite group of order:

N = p^km

where p is prime, k is a nonnegative integer, and m is relatively prime to p. Let n_p denote the p-Sylow number (?), i.e., the number of p-Sylow subgroups of G. Then we have:

n_p | m.

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