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ON GROUPS WHOSE PROPER SUBGROUPS ARE CHERNIKOV-BY-BAER OR (PERIODIC DIVISIBLE ABELIAN)-BY-BAER

open access: yes, 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 ...
A. Arıkan, N. Trabelsi
semanticscholar   +2 more sources

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
openaire   +1 more source

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