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Publicationes Mathematicae Debrecen, 2007 Summary: For any integer \(n\neq 0,1\), a group is said to be \(n\)-Bell if it satisfies the law \([x^n,y]=[x,y^n]\). In this paper we prove that every finitely generated locally graded \(n\)-Bell group embeds into the direct product of a finite \(n\)-Bell group and a torsion-free nilpotent group of class \(\leq 2\).
DELIZIA, Costantino +2 more
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On Minimal Non-(residually Nilpotent) Locally Graded Groups
Mediterranean Journal of Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A O Asar
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On Locally Graded Minimal Non-(finite-by-hypercentral) Groups
Bulletin of the Malaysian Mathematical Sciences Society, 2020Let \(\mathfrak{X}\) be a class of groups. A group is said to be minimal non-\(\mathfrak{X}\) if it does not belong to \(\mathfrak{X}\) while every of its proper subgroup is a \(\mathfrak{X}\)-group. In the paper under review, the authors study the class of locally graded minimal non-(finite-by-hypercentral) groups. The main result of this paper states
Nadir Trabelsi
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Locally graded groups with complemented infinite nonabelian subgroups
Ukrainian Mathematical Journal, 1992See the review in Zbl 0741.20018.
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On locally graded non-periodic barely transitive groups.
, 2007 Summary: We prove that both the Hirsch-Plotkin radical and the periodic radical of a point stabilizer in a simple locally graded non-periodic barely transitive group are trivial.
Arikan, AYNUR
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Grading of a Semigroup C*-Algebra by a Local Group
Russian Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Grigoryan, S. A., Sharafutdinov, A. Sh.
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LOCALLY GRADED GROUPS WITH FEW NON-(TORSION-BY-NILPOTENT) SUBGROUPS
Ischia Group Theory 2006, 2007Nadir Trabelsi
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Locally graded minimal non CC-groups arep-groups
Archiv der Mathematik, 1991The group \(G\) is a \(CC\)-group if \(G/C_ G(x^ G)\) is Chernikov for all \(x\in G\). If \(G\) is not a \(CC\)-group but all its proper subgroups are \(CC\)-groups \(G\) is said to be a minimal non \(CC\)-group. \textit{J. Otal} and \textit{J. M. Peña} [Commun. Algebra 16, 1231-1242 (1988; Zbl 0644.20025)] have shown that a locally graded minimal non-\
Hartley, B. +2 more
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On the Structure of Locally Graded $$\overline T $$ -Groups
Mathematical Notes, 2002A group \(G\) is said to be a `T-group' if all its subnormal subgroups are normal, i.e. if normality in \(G\) is a transitive relation; moreover, \(G\) is called a `\(\overline{\text{T}}\)-group' if every subgroup of \(G\) is a T-group. In the 14-th edition of the Kourovka Notebook (1999; Zbl 0943.20003 and Zbl 0943.20004), the reviewer asked whether ...
Larin, S. V., Sozutov, A. I.
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