Abstract
Let p be a prime, E be a normal subgroup of a finite group G. In this paper, we will investigate the way E embedded in G under the assumption that some p-subgroups of E are c-normal in G. We pay more attention to the p-subgroups of E with given order \(p^d\). We generalized several recent results of other scholars.
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Acknowledgments
The authors would like to thank the referee for his/her careful corrections and valuable suggestions. In fact, the proofs of several results of this paper were modified by the referee in order to make them more simple and clear.
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Communicated by Ang Miin Huey.
Project supported by NSFC (11171353).
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Su, N., Wang, Y. & Xie, Z. C-Normal and Hypercyclically Embedded Subgroups of Finite Groups. Bull. Malays. Math. Sci. Soc. 39, 1105–1113 (2016). https://doi.org/10.1007/s40840-015-0220-3
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DOI: https://doi.org/10.1007/s40840-015-0220-3