On the number of different prime divisors of element orders

Moretó, Alexander

doi:10.1090/S0002-9939-05-08156-6

On the number of different prime divisors of element orders
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by Alexander Moretó

Proc. Amer. Math. Soc. 134 (2006), 617-619

DOI: https://doi.org/10.1090/S0002-9939-05-08156-6

Published electronically: July 7, 2005

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Abstract:

We prove that the number of different prime divisors of the order of a finite group is bounded by a polynomial function of the maximum of the number of different prime divisors of the element orders. This improves a result of J. Zhang.

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