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Locally Finite Groups Whose Sylow Subgroups Are Chernikov
Brian Hartley
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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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p-Groups with Černikov Centralizers of Non-Identity Elements of Prime Order
Algebra and Logic, 2001The 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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Cancer statistics for adolescents and young adults, 2020
Ca-A Cancer Journal for Clinicians, 2020Kimberly D Miller +2 more
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Locally finite groups with Chernikov classes of conjugate infinite Abelian subgroups
1988The conjugacy class of a subgroup H is said to be Chernikov if \(G/core_ G(N_ G(H))\) is Chernikov. The author has shown previously [Izv. Vyssh. Uchebn. Zaved., Mat. 1977, No.4, 95-101 (1977; Zbl 0374.20051)] that in a periodic group G all abelian subgroups have Chernikov conjugacy classes if and only if G is centre-by-Chernikov.
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Obesity and economic environments
Ca-A Cancer Journal for Clinicians, 2014Roland Sturm, Ruopeng An
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Who's still smoking? Disparities in adult cigarette smoking prevalence in the United States
Ca-A Cancer Journal for Clinicians, 2018Alex C Liber +2 more
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