Journal:
:journal of linear and topological algebra (jlta)2012
m shahrabi farahani s moayeri m ghahramani
in this paper, we investigate the relation between l-projections and conditional
expectations on subalgebras of the fourier-stieltjes algebra b(g), and we will show that
compactness of g plays an important role in this relation.
A subgroup $H$ is said to be $nc$-supplemented in a group $G$ if there exists a subgroup $Kleq G$ such that $HKlhd G$ and $Hcap K$ is contained in $H_{G}$, the core of $H$ in $G$. We characterize the supersolubility of finite groups $G$ with that every maximal subgroup of the Sylow subgroups is $nc$-supplemented in $G$.
