Results 111 to 120 of about 5,386,839 (143)
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Characterization of a certain class of chernikov groups
Algebra and Logic, 1987See the review in Zbl 0654.20035.
V P Shunkov
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Characterization of infinite Chernikov groups
Ukrainian Mathematical Journal, 1990See the review in Zbl 0705.20038.
Sesekin, N. F., Shumyatskij, P. V.
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Embedding theorems for groups with involutions and a characterization of Chernikov groups
Algebra and Logic, 1988See the review in Zbl 0657.20029.
V P Shunkov
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Characterization of groups with generalized chernikov periodic part
Mathematical Notes, 2000A Chernikov group is a finite extension of a direct product of finitely many quasicyclic groups. A generalized Chernikov group \(G\) is an extension of a direct product \(A\) of quasicyclic \(p\)-groups with finitely many factors for each prime \(p\) by a locally normal group \(B\), where each element of \(G\) is element-wise permutable with all but a ...
V I Senashov
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ON GROUPS WHOSE PROPER SUBGROUPS ARE CHERNIKOV-BY-BAER OR (PERIODIC DIVISIBLE ABELIAN)-BY-BAER
Journal of Algebra and Its Applications, 2013 If 𝔛 is a class of groups, then a group G is called a minimal non-𝔛-group if it is not an 𝔛-group but all of its proper subgroups belong to 𝔛. In this paper we prove that locally graded minimal non-(Chernikov-by-nilpotent)-groups are precisely minimal non-nilpotent-groups without maximal subgroups and that locally graded minimal non-(Chernikov-by-Baer)
ARIKAN, AHMET, Trabelsi, Nadir
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On groups factorized by two subgroups with Chernikov commutants
Ukrainian Mathematical Journal, 2000 In the paper infinite groups of the form \(G=AB\) are studied, where the subgroups \(A\) and \(B\) are finite or the derived subgroups \(A'\) and \(B'\) are Chernikov and satisfy some additional restrictions. It is shown that such a group \(G\) in which the subgroups \(A'\) and \(B'\) generate an almost solvable (finite-by-solvable) subgroup with ...
Черников, Н.С.
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On groups whose all proper subgroups have Chernikov derived subgroups
Journal of Mathematical Sciences, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mykola Semko
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Matrix representation of groups of exterior automorphisms of Chernikov groups
Algebra and Logic, 1969Yu I Merzlyakov
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Locally Nilpotent p-Groups Whose Proper Subgroups Are Hypercentral-by-Chernikov
, 2018 If is a group theoretical property or class of groups then a group G is a -group if G has the property or is a member of the class Let G be a group andbe a property of groups. If every proper subgroup of G satisfies but G itsellf doesnot satisfy it, then G is called a minimal non- group (We denote the classes ofminimal non- group by -group).
Arıkan, Aynur
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