Results 111 to 120 of about 4,168 (159)

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 ...
Kurdachenko, Leonid A., Otal, Javier
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Characterization of infinite Chernikov groups

Ukrainian Mathematical Journal, 1990
See the review in Zbl 0705.20038.
Sesekin, N. F., Shumyatskij, P. V.
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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
Kurdachenko, Leonid A., Otal, Javier
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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 \(
Kurdachenko, L.A., Otal, J., Subbotin, I.Ya.   +2 more
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Characterization of a certain class of chernikov groups

Algebra and Logic, 1987
See the review in Zbl 0654.20035.
Popov, A. M., Shunkov, V. P.
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Ayoub's theorem and Chernikov groups

Journal of Group Theory, 2010
Let \(G=H\times K\) be the direct product of two groups \(H\) and \(K\) and suppose that \(G\) admits a normal subgroup \(N\) with \(N\simeq A\) and \(G/N\simeq B\). \textit{J. Ayoub} [in J. Group Theory 9, No. 3, 307-316 (2006; Zbl 1108.20030)] proved that if \(G\) is finite then \(N\) is a direct factor of \(G\).
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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.
Gudivok, P. M., Vashchuk, F. G., Drobotenko, V. S.   +2 more
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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.
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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 ...
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On groups whose all proper subgroups have Chernikov derived subgroups

Journal of Mathematical Sciences, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Semko, Nikolai N., Yarovaya, Oksana A.
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