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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!

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    THis link is useless since it requires subscription2012-10-31
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    Do you have a reference on russian?2012-10-31
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    The only interpretation I can think of is that it means that the composition factors of $G$ are either of prime order, or are known finite nonabelian simple groups. Since the classification of finite simple groups is now complete, and no new examples have been found since 1986, it should be safe to assume that the hypothesis always holds!2012-10-31
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    @Binzhou Xia See [survey paper](http://www.nbuv.gov.ua/portal/natural/Adm/2012_13_1/7.pdf) It is a paper about Zaitsev's (your paper's author) contributions in the theory of infinite groups.2012-10-31
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    @DerekHolt Thanks! I think it should mean that.2012-10-31
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    @Nimza I only have the hardcopy paper2012-10-31
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    @Reader The author of the paper I mensioned should be L.S. Kazarin not D.I. Zaitsev2012-10-31
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    @Binzhou Xia I am also saying that Zaitsev's is (one of the) authors.2012-10-31
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    @BinzhouXia: there is also an English translation of the paper in question: Mathematics of the USSR-Izvestiya, 1987, 28:3, 467–4952013-07-04
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    @AlexanderKonovalov:Sorry, it seems that the paper you mensioned is translated from "On a problem of Szep". Am I missing something?2013-07-06
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    @BinzhouXia: yes, that's the translation of the paper whose abstract is linked to "this article" in the 2nd paragraph of the question. Do you mean another paper?2013-07-06
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    @AlexanderKonovalov:Thank you for reminding me. I don't know why the link is changed. Now I edited the link to the original one. It should be linked to the paper "Groups that can be represented as a product of two solvable subgroups" by Kazarin published in Comm. Algebra 14 (1986), no. 6, 1001–1066.2013-07-08

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