Abstract
Let 𝔉 be a class of finite groups. A subgroup H of G is said to be 𝔉-supplemented in G if there exists a subgroup T of G such that G = TH and (H ∩ T)HG/HG is contained in the 𝔉-hypercenter [Formula: see text] of G/HG. In this paper, we investigate further the influence of 𝔉-supplemented subgroup on the structure of finite groups and generalize a series of known results.
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