Results 91 to 100 of about 288 (124)
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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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Characterization of a certain class of chernikov groups
Algebra and Logic, 1987See the review in Zbl 0654.20035.
V P Shunkov, Shunkov V P
exaly +3 more sources
Groups With Chernikov Classes of Conjugate Subgroups
Journal of Group Theory, 2005A 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
L A Kurdachenko, Javier Otal
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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, Shunkov V P
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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, Senashov V I
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Chernikov p-groups and integral p-adic representations of finite groups
Ukrainian Mathematical Journal, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
P M Gudivok
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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.
N N 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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Chernikov 2-Groups with Kleinian Top and Totally Reducible Bottom
Ukrainian Mathematical Journal, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Drozd, Yu. A., Plakosh, A. I.
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Groups with Bounded Chernikov Conjugate Classes of Elements
Ukrainian Mathematical Journal, 2002A 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 \(
Kurdachenko, L.A. +2 more
openaire +3 more sources

