This article is cited in 1 scientific paper (total in 1 paper)
Groups satisfying the minimal condition for non-abelian non-normal subgroups
Nikolai S. Chernikov
Institute of Mathematics, National Academy of Sciences of Ukraine,
Tereschenkivska, 3, Kyiv-4, 01601, Ukraine
In the present paper, we establish that in a great many large and extremely large classes of groups, the non-abelian groups satisfying the mentioned condition are exactly the non-abelian Chernikov groups and the non-abelian solvable groups with normal non-abelian subgroups.
minimal conditions, non-normal subgroups, non-abelian, Chernikov, Artinian, Dedekind, Shunkov, solvable, periodic groups, weakly, binary, primitive, locally graded groups.
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Received in revised form: 09.12.2013
Nikolai S. Chernikov, “Groups satisfying the minimal condition for non-abelian non-normal subgroups”, J. Sib. Fed. Univ. Math. Phys., 7:1 (2014), 22–34
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\paper Groups satisfying the minimal condition for non-abelian non-normal subgroups
\jour J. Sib. Fed. Univ. Math. Phys.
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This publication is cited in the following articles:
Nikolai S. Chernikov, “Some minimal conditions in certain extremely large classes of groups”, Zhurn. SFU. Ser. Matem. i fiz., 8:1 (2015), 22–27
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