JP Journal of Algebra, Number Theory and Applications
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Abstract: A subgroup H
of a finite group G is said to be c-supplemented in G if there exists a subgroup K
of G such that and is contained in where is the largest normal subgroup of G
contained in H. The purpose of this
paper is to study the influence ofc-supplementation
of certain subgroups of prime power order of the group on its structure. Some
recent results are improved and generalized.
