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This article is cited in 12 scientific papers (total in 12 papers)
The product of two groups, one of which contains a cyclic subgroup of index $\le2$
V. S. Monakhov Institute of Mathematics, Academy of Sciences Byelorussian SSR
Abstract:
We prove that a finite group $G=A\cdot B$ is solvable if the groups $A$ and $B$ contain cyclic subgroups with indices $\le2$. We provide a description of two classes of nonsolvable factorizable groups.
Received: 10.09.1973
Citation:
V. S. Monakhov, “The product of two groups, one of which contains a cyclic subgroup of index $\le2$”, Mat. Zametki, 16:2 (1974), 285–295; Math. Notes, 16:2 (1974), 757–762
Linking options:
https://www.mathnet.ru/eng/mzm7461 https://www.mathnet.ru/eng/mzm/v16/i2/p285
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Abstract page: | 310 | Full-text PDF : | 107 | First page: | 1 |
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