I'm reading a paper "Groups that can be represented as a product of two solvable subgroups" published in 1986 in Comm. Algebra.
Since I do not understand Russian, I only read the abstract in this article. It states that for a finite factorization $G=AB$ with $A$ and $B$ solvable subgroups of $G$, if all the composition factors of $G$ are "known" groups, then the nonabelian simple composition factors of $G$ belong the listed groups.
I don't know what does "kown" group mean, so I wonder is there anyone understanding Russian or knowing this result who will kindly answer the following question? Does it mean the composition factors of $G$ are of certain types? If so, where are these types mensioned in this paper? Thanks in advance!