On the prime divisors of element orders

Nguyen Ngoc Hung and Yong Yang

Mathematische Nachrichten, 2021, vol. 294, issue 10, 1905-1911

Abstract: The number of different prime divisors of the order of a finite group G is bounded above by a quartic function of the maximum number of different prime divisors of the order of a single element in G. This improves earlier results of J. Zhang, T. M. Keller, and A. Moretó.

Date: 2021
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