On the structure of some non-periodic groups whose subgroups of infinite special rank are transitively normal
DOI:
https://doi.org/10.15407/dopovidi2021.06.012Keywords:
finite special rank, periodic group, locally nilpotent radical, transitively normal subgroupsAbstract
A group G has a finite special rank r, if every finitely generated subgroup of G can be generated by at most r elements, and there exists a finitely generated subgroup H which has exactly r generators. This paper is devoted to genera lized radical non-Abelian groups of infinite special rank whose subgroups of infinite special rank are transitively normal.
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