Locally graded groups with many (locally nilpotent)-by-Chernikov subgroups
Acta Mathematica HungaricaNadir Trabelsi
exaly +3 more sources
Locally Nilpotent p -Groups whose Proper Subgroups are Hypercentral or Nilpotent-by-Chernikov
Journal of the London Mathematical Society, 2000A. O. Asar
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ON GROUPS WHOSE PROPER SUBGROUPS ARE CHERNIKOV-BY-BAER OR (PERIODIC DIVISIBLE ABELIAN)-BY-BAER
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 ...
A. Arıkan, N. Trabelsi
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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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Locally Indicable Groups of Finite Mal’tsev Rank
Algebra i logika, 2014V. Kopytov
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Factorization of Periodic Locally Solvable Groups by Locally Nilpotent and Nilpotent Subgroups
, 2001N. S. Chernikov
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Locally Nilpotent Groups with Weak Conditions of π-Layer Minimality and π-Layer Maximality
, 2002N. S. Chernikov, N. A. Khmel’nitskii
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On finite solvable groups decomposable into the product of two nilpotent subgroups
, 2000N. S. Chernikov
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On Periodic Locally Solvable Groups Decomposable into the Product of Two Locally Nilpotent Subgroups
, 2000N. S. Chernikov
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