A subgroup H of a finite group G is said to be weakly s-supplemented in G if G has a subgroup K such that G = HK and H boolean AND K <= H(s)G, where H(s)G is the subgroup of H generated by all subgroups of H which are S-permutable in G. We are interested in studying the influence of the weakly s-supplemented subgroups of prime power order on the structure of finite groups.
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Guangxi Teachers Educ Univ, Sch Math Sci, Nanning 530023, Guangxi, Peoples R ChinaGuangxi Teachers Educ Univ, Sch Math Sci, Nanning 530023, Guangxi, Peoples R China
Zhong, Guo
Ma, Xuanlong
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Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R ChinaGuangxi Teachers Educ Univ, Sch Math Sci, Nanning 530023, Guangxi, Peoples R China
Ma, Xuanlong
Yang, Liying
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Guangxi Teachers Educ Univ, Sch Math Sci, Nanning 530023, Guangxi, Peoples R ChinaGuangxi Teachers Educ Univ, Sch Math Sci, Nanning 530023, Guangxi, Peoples R China
Yang, Liying
Xia, Jiayi
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Guangxi Teachers Educ Univ, Sch Math Sci, Nanning 530023, Guangxi, Peoples R ChinaGuangxi Teachers Educ Univ, Sch Math Sci, Nanning 530023, Guangxi, Peoples R China