Results 111 to 120 of about 289 (147)
Chernikov p-groups and integral p-adic representations of finite groups
Ukrainian Mathematical Journal, 1992 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
П. М. Гудивок +2 more
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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 ...
Н. С. Черников
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Groups all proper quotient groups of which have Chernikov conjugacy classes
Ukrainian Mathematical Journal, 2000 Groups with Chernikov classes of conjugated elements (CC-groups) are a generalization of FC-groups and they can be defined as groups with Chernikov factor groups \(G/C_G(x)^G\) for all \(x\in G\) (as usual, \(C_G(x)^G\) denotes the normal closure of \(C_G(x)\) in \(G\)).
Leonid A. Kurdachenko, Javier Otal
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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, 2012 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)
Ahmet Arıkan, Nadir Trabelsi
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Groups all proper quotient groups of which possess layer-Chernikov properties
Ukrainian Mathematical Journal, 1998 Layer-Chernikov groups were investigated in series of papers, in particular by \textit{D. J. S. Robinson} [J. Algebra 14, 182-193 (1970; Zbl 0186.32204)]. The article under review is dedicated to the investigation of groups all factor-groups of which are layer-Chernikov groups.
N.V. Kalashnіkova
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Quotient groups of locally graded groups and groups of certain Kurosh-Chernikov classes
Ukrainian Mathematical Journal, 1998 The paper deals with the class of locally graded groups such that each non-unit finitely generated subgroup of the group contains a non-unit subgroup of finite index; the class of RN-groups consists of groups with solvable subinvariant subgroup system; the class of RI-groups consists of groups with solvable invariant system.
Н. С. Черников +1 more
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Locally finite groups with Chernikov Sylowp-subgroups
Algebra and Logic, 1981 V. V. Belyaev
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Matrix representation of groups of exterior automorphisms of Chernikov groups
Algebra and Logic, 1969 Yu. I. Merzlyakov
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On Groups with Chernikov Centralizer of a 2-Subgroup
, 1996 Pavel Shumyatsky
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