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On s-semipermutable subgroups of finite groups

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Abstract

Suppose that G is a finite group and H is a subgroup of G. We say that H is s-semipermutable in G if H G p = G p H for any Sylow p-subgroup G p of G with (p, |H|) = 1. We investigate the influence of s-semipermutable subgroups on the structure of finite groups. Some recent results are generalized and unified.

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Correspondence to Yang Ming Li.

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Supported by National Natural Science Foundation of China (Grant No. 10871210), Natural Science Foundation of Guangdong Province (Grant No. 06023728)

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Li, Y.M., He, X.L. & Wang, Y.M. On s-semipermutable subgroups of finite groups. Acta. Math. Sin.-English Ser. 26, 2215–2222 (2010). https://doi.org/10.1007/s10114-010-7609-6

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  • DOI: https://doi.org/10.1007/s10114-010-7609-6

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