A Generalization of c-Supplementation

Shiheng Li; Dengfeng Liang; Wujie Shi
September 2006
Southeast Asian Bulletin of Mathematics;2006, Vol. 30 Issue 5, p889
Academic Journal
A subgroup H is said to be no-supplemented in a group G if there is a subgroup K ≤ G such that HK ⊴ G and H ∩ K is contained in HG, the core of H in G. We characterize the solvability of finite groups G with some subgroups of Sylow subgroups nc-supplemented in G. We also give a result on e-supplemented subgroups.


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