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On not locally nilpotent Černikov groups
Periodica Mathematica Hungarica, 1985We prove the following theorem. If a locally finite not locally nilpotent group satisfies the minimal condition on the not locally nilpotent subgroups then it is a Chernikov group.
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Factor morphisms and centroids of locally nilpotent groups
Algebra and Logic, 2011The author considers endomorphisms \(\sigma\) of a locally nilpotent group \(G\) satisfying two of the following conditions for all \(g,h\in G\) and ordinal numbers \(\alpha\): (a) \(g^{h\sigma}=g^{\sigma h}\), (b) \(g^\sigma h^\sigma=(gh)^\sigma\) if \([g,h]=1\), (c) as in (b), but each as congruences modulo \(Z_\alpha(G)\).
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Irreducible locally nilpotent linear groups
1998The main object of the paper under review is a locally nilpotent linear group \(G\) defined over an arbitrary field \(P\). Such groups were earlier studied by Suprunenko, Zalesskij, Garashchuk, who reduced their classification to the case where \(G\) is an absolutely irreducible Sylow \(q\)-subgroup of the projective linear group \(\text{PGL}(q^\alpha ...
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Right-Ordered Locally Nilpotent Groups
Journal of the London Mathematical Society, 1972openaire +2 more sources
Locally Nilpotent Linear Groups
Journal of the London Mathematical Society, 1968openaire +1 more source
Categorically compact locally nilpotent groups
Communications in Algebra, 1990Fay, Temple H., Walls, Gary L.
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Cancer statistics for adolescents and young adults, 2020
Ca-A Cancer Journal for Clinicians, 2020Kimberly D Miller +2 more
exaly
Central Factor Groups of Locally Finite and Locally Nilpotent Groups
2022Hassanzadeh, Mitra +2 more
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