科研之友
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摘要
Let p be a prime number, let G be a finite group, and let P be a Sylow p-subgroup of G. Under the assumption that N-G. (P) is p-nilpotent, we give an equivalent condition of the p-nilpotency of G. Our result is a generalization of the famous Burnside p-nilpotency criterion and some recent results.
