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Finite Groups with E-Supplemented Subgroups

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Abstract

A subgroup H of a finite group G is E-supplemented in G if there is a subgroup K of G such that G=HK and HKH eG , where H eG denotes the subgroup of H generated by all those subgroups of H which are S-quasinormally embedded in G. In this paper, we investigate the influence of E-supplemented subgroups on the structure of finite groups.

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Acknowledgements

The project is supported by the Natural Science Foundation of China (No: 11101369) and the Priority Academic Program Development of Jiangsu Higher Education Institutions.

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Correspondence to Changwen Li.

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Zhang, X., Li, C. Finite Groups with E-Supplemented Subgroups. Viet J Math 41, 333–339 (2013). https://doi.org/10.1007/s10013-013-0021-7

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  • DOI: https://doi.org/10.1007/s10013-013-0021-7

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