Turkish Journal of Mathematics
DOI
10.3906/mat-1111-2
Abstract
A subgroup H of G is said to be weakly s-supplementally embedded in G if there exist a subgroup T of G and an s-permutably embedded subgroup H_{se} of G contained in H such that G=HT and H \cap T \leq H_{se}. In this paper, we investigate the influence of some weakly s-supplementally embedded subgroups on the structure of a finite group G. Some earlier results are unified and generalized.
Keywords
s-permutable subgroup, weakly s-supplementally embedded subgroup, p-nilpotent group, formation
First Page
762
Last Page
769
Recommended Citation
ZHAO, TAO
(2013)
"Finite groups with some weakly s-supplementally embedded subgroups,"
Turkish Journal of Mathematics: Vol. 37:
No.
5, Article 4.
https://doi.org/10.3906/mat-1111-2
Available at:
https://journals.tubitak.gov.tr/math/vol37/iss5/4