Journals / Turkish Journal of Mathematics / 2013 / Cilt: 37 - Sayı: 5
Finite groups with some weakly s-supplementally embedded subgroups
- Pages
- 762–769
- DOI
- —
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 Hse of G contained in H such that G=HT and H \cap T \leq Hse. 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.
Özet
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 Hse of G contained in H such that G=HT and H \cap T \leq Hse. 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.