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On c*-normal subgroups in finite groups

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Abstract

A subgroup H of a finite group G is called a c*-normal subgroup of G if there exists a normal subgroup K of G such that G = HK and H ⊂ K is an S-quasinormal embedded subgroup of G. In this paper, the structure of a finite group G with some c*-normal maximal subgroups of Sylow subgroups is characterized and some known related results are generalized.

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Authors and Affiliations

  1. School of Mathematics Science, Guangxi Teachers Education University, Nanning, 530001, P. R. China

    Hua Quan Wei & Hong Fei Pan

  2. School of Mathematics and Computer Science, Xinyang Normal University, Xinyang, 464000, P. R. China

    Wei Ping Gu

Authors
  1. Hua Quan Wei
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  2. Wei Ping Gu
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  3. Hong Fei Pan
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Correspondence to Hua Quan Wei.

Additional information

Supported by National Natural Science Foundation of China (Grant Nos. 10961007, 10871210), Natural Science Foundation of Guangxi Province (Grant No. 0991101) and Guangxi Education Department

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Wei, H.Q., Gu, W.P. & Pan, H.F. On c*-normal subgroups in finite groups. Acta. Math. Sin.-English Ser. 28, 623–630 (2012). https://doi.org/10.1007/s10114-012-9226-z

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  • DOI: https://doi.org/10.1007/s10114-012-9226-z

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