Complemented subgroups and p-nilpotence in finite groups |
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| Authors: | Shouhong?Qiao mailto:qshqsh@.com" title=" qshqsh@.com" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,I.?M.?Isaacs,Yangming?Li |
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| Affiliation: | (1) School of Mathematics Science, Guangxi Teachers Education University, Nanning, 530001, P. R. China;(2) School of Mathematics and Computer Science, Xinyang Normal University, Xinyang, 464000, P. R. China |
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| Abstract: | ![]()
Let p be the smallest prime divisor of the order of a finite group G. We find sufficient conditions for G to be p-nilpotent based on the existence of complements in G for p-subgroups of certain orders. In particular, we generalize a recent result of M. Asaad. |
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