On weakly M-supplemented primary subgroups of finite groups

Authors: LONG MIAO, WOLFGANG LEMPKEN

Abstract: A subgroup H of a group G is said to be weakly M-supplemented in G if there exists a subgroup B of G provided that (1) G=HB, and (2) if H_1/H_G is a maximal subgroup of H/H_G, then H_1B=BH_1

Keywords: Primary subgroups,weakly M-supplemented subgroups, supersolvable groups, formation

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