Abstract:
Let $n > 0$ and let $\sigma = \{\sigma_i \mid i \in I\}$ be a partition of the set of all primes ${\Bbb P}$. We prove that the lattice of all $n$-multiply $\sigma$-local formations is inductive and $\mathfrak{G}$-separated.
Keywords:finite group, formation of groups, formation $\sigma$-function, $n$-multiply $\sigma$-local formation, lattice of formations, inductive lattice of formations, separated lattice of formations.
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