On the nonperiodic groups, whose subgroups of infinite special rank are transitively normal
DOI:
https://doi.org/10.15407/dopovidi2020.02.003Keywords:
finite special rank, locally nilpotent radical, locally nilpotent residual, periodic group, soluble group, transitively normal subgroupsAbstract
This paper devoted to the nonperiodic locally generalized radical groups, whose subgroups of infinite special rank are transitively normal. We proved that if such a group G includes an ascendant locally nilpotent subgroup of infinite special rank, then G is Abelian.
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