Abstract
Let \(p\) be the smallest prime divisor of the order of a finite group \(G\). We examine the structure of \(G\) under the hypothesis that \(p\)-subgroups of \(G\) of certain orders are complemented in \(G\). In particular, we extend some recent results.
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Acknowledgments
The authors are grateful for the help of Prof. Xianhua Li.
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Communicated by J. S. Wilson.
Dedicated to Professor Wujie Shi on the occasion of his seventieth birthday.
Project supported in part by NSFC (11171353, 11271085), NSF of Guangdong (S2011010004447) and Special Project for the Subject Build of High Education of Guangdong Province (2012KJCX0081).
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Li, Y., Su, N. & Wang, Y. Complemented subgroups and the structure of finite groups. Monatsh Math 173, 361–370 (2014). https://doi.org/10.1007/s00605-013-0491-4
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DOI: https://doi.org/10.1007/s00605-013-0491-4