On control of the prime spectrum of a finite simple group.
Let \(G\) be a finite nonabelian simple group and \(\pi(G)\) the set of all prime divisors of \(|G|\). In this paper, the author proves that \(G\) has sections \(H_1,\ldots,H_m\) of special form such that \(\pi(H_1)\cup\cdots\cup\pi(H_m)=\pi(G)\) and \(m\leq 5\). Moreover, \(m\leq 2\) if \(G\) is an alternating or classical simple group.
scientific article; zbMATH DE number 6369304
scientific article