Notes on Solvability and p-Supersolvability of Finite Groups
A subgroup H of G is called ℳ-supplemented in G if there exists a subgroup B of G such that G = HB and Hi B < G for every maximal subgroup Hi of H. In this paper, we use ℳ-supplemented subgroups to study the structure of finite groups and obtain some new characterization about solvability and p-supersolvability for a fixed prime p. Some results in the literature are corollaries of our theorems.
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