On weakly $m$-$\sigma$-permutably embedded subgroups of finite groups
Let $\sigma=\{{\sigma_i|i\in I}\}$ be some partition of the set of all primes $\mathbb{P}$ and $G$ a finite group. A group is said to be \textit{$\sigma$-primary} if it is a finite $\sigma_i$-group for some $i$.A subgroup $H$ of $G$ is said to be: \textit{$\sigma$-subnormal} in $G$ if there exists a subgroup chain $H=H...