Results 101 to 110 of about 289 (147)
Characterization of infinite Chernikov groups
Ukrainian Mathematical Journal, 1990 See the review in Zbl 0705.20038.
Н. Ф. Сесекин +1 more
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Characterization of groups with generalized chernikov periodic part
Mathematical Notes, 2000 A 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 ...
В. И. Сенашов
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Groups With Chernikov Classes of Conjugate Subgroups
Journal of Group Theory, 2005 A famous theorem by B.~H.~Neumann states that a group \(G\) is central-by-finite if and only if each subgroup of \(G\) has finitely many conjugates, i.e. if and only if the index \(|G:N_G(H)|\) is finite for every subgroup \(H\) of \(G\). A group \(G\) is said to have `Chernikov conjugacy classes' of subgroups if \(G/N_G(H)_G\) is a Chernikov group for
Leonid A. Kurdachenko, Javier Otal
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Groups with Chernikov factor-group by hypercentral
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2014 In this interesting paper the authors extend some classical theorems involving the terms and the factor groups of the central series of a group. They show that a periodic hypercentral-by-Chernikov group is Chernikov-by-hypercentral and obtain explicit bounds that describe numerical invariants of the second structure of the group as a function of the ...
Leonid A. Kurdachenko, Javier Otal
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Central-by-Chernikov groups are compact co-Chernikov CC-groups
Annali di Matematica Pura ed Applicata, 2003 Generalizing cofinite groups, M.R. Dixon [Glasgow Math. J. 23 (1982)] has shown how a residually Chernikov group can be made into a topological space, which is called a co-Chernikov group. A co-Chernikov group can be embedded in a compact co-Chernikov group, its pro-Chernikov completion.
Javier Otal
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Chernikov 2-Groups with Kleinian Top and Totally Reducible Bottom
Ukrainian Mathematical Journal, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yuriy Drozd, Andriana I. Plakosh
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Characterization of a certain class of chernikov groups
Algebra and Logic, 1987 See the review in Zbl 0654.20035.
A. M. Popov, В. П. Шунков
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On locally finite groups with a Chernikov maximal subgroup
Algebra and Logic, 1998 The following theorem is proven: Let \(G\) be a locally finite group with Chernikov maximal subgroup \(H\) and let \(H\) contain no nontrivial normal subgroups of \(G\); then either \(G\) is finite or there exists an infinite normal elementary Abelian subgroup \(V\) of \(G\) such that \(G=VH\) and \(V\cap H=1\).
B. Hartley
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Groups with Bounded Chernikov Conjugate Classes of Elements
Ukrainian Mathematical Journal, 2002 A group \(G\) is called a group with Chernikov conjugacy classes (or CC-group) if \(G/C_G(g^G)\) is a Chernikov group for all \(g\in G\). The authors study such groups under the following restrictions on the quotient groups \(G/C_G(g^G)\) (BCC-groups): there exist two positive integers \(M(G)\) and \(O(G)\) such that \([G:C_G(g^G)]\leq O(G)\) for all \(
Leonid A. Kurdachenko +2 more
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Embedding theorems for groups with involutions and a characterization of Chernikov groups
Algebra and Logic, 1988 See the review in Zbl 0657.20029.
В. П. Шунков
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