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On weakly -supplemented subgroups of finite groups

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Abstract A subgroup H of a group G is said to be weakly -supplemented in G if there exists a subgroup B of G provided that (1) G = HB,… Click to show full abstract

Abstract A subgroup H of a group G is said to be weakly -supplemented in G if there exists a subgroup B of G provided that (1) G = HB, and (2) if is a maximal subgroup of then where HG is the largest normal subgroup of G contained in H. In this paper, we study the influence of weakly -supplemented subgroups with given order on the structure of finite groups.

Keywords: finite groups; subgroups finite; weakly supplemented; supplemented subgroups

Journal Title: Communications in Algebra
Year Published: 2021

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