Results 121 to 130 of about 2,730 (156)

Embedding theorems for groups with involutions and a characterization of Chernikov groups

Algebra and Logic, 1988
See the review in Zbl 0657.20029.
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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.
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Groups in which every proper subgroup is ?ernikov-by-nilpotent or nilpotent-by-?ernikov

Archiv der Mathematik, 1988
\textit{B. Bruno} and \textit{R. E. Phillips} [Rend. Semin. Mat. Univ. Padova 69, 153-168 (1983; Zbl 0522.20022)] have classified infinite groups in which every proper subgroup is finite-by-nilpotent of class \(c\) whereas \textit{B. Bruno} [Boll. Unione Mat. Ital., VI. Ser. B 3, 797-807 (1984; Zbl 0563.20035) and ibid.
Otal, Javier, Peña, Juan Manuel
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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 ...
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S. N. Chernikov and the development of infinite group theory.

2012
S. N. Černikov has been one of the most prominent and influential scientists of the 20th century working in the field of infinite groups. Černikov's important contributions and some of subsequent (and also recent) applications of his ideas are (shortly) described in this interesting survey article prepared on the occasion of the 100th anniversary of ...
Dixon, M.R., Kirichenko, V.V., Kurdachenko, L.A., Otal, J., Semko, N.N., Shemetkov, L.A., Subbotin, I.Ya.   +6 more
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p-Groups with Černikov Centralizers of Non-Identity Elements of Prime Order

Algebra and Logic, 2001
The author proves the following theorem: Let \(G\) be a \(p\)-group, let \(a\) be an element of prime order \(p\), and let the centralizer \(C_G(a)\) be a Chernikov group. Then either \(G\) is a Chernikov group, or it has a non-locally finite section by a Chernikov subgroup with a unique maximal locally finite subgroup.
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Breast Cancer Statistics, 2022

Ca-A Cancer Journal for Clinicians, 2022
Hyuna Sung, Kimberly D Miller, Rebecca L Siegel   +2 more
exaly  

Semigroups with certain finiteness conditions and Chernikov groups

2019
The main purpose of this short survey is to show how groups of special structure, which are accepted to be called Chernikov groups, appeared in the considerations of semigroups with certain finiteness conditions. A structure of groups with several such conditions has been described (they turned out to be special types of Chernikov groups).
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Locally finite groups with Chernikov Sylowp-subgroups

Algebra and Logic, 1981
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