Weakly s-supplemented subgroups and p-nilpotency of finite groups

Shouhong Qiao ()
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Shouhong Qiao: Guangdong University of Technology

Indian Journal of Pure and Applied Mathematics, 2013, vol. 44, issue 6, 795-808

Abstract: Abstract A subgroup H of a group G is said to be weakly s-supplemented in G if there is a subgroup T of G such that G = HT and H ∩ T ≤ H sG , where H sG is the maximal s-permutable subgroup of G contained in H. In this paper, we investigate the influence of weakly s-supplemented subgroups on the structure of finite groups. Some recent results are generalized.

Keywords: Finite groups; p-nilpotent groups; weakly s-supplemented subgroups (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s13226-013-0043-6

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