| Title | On the nonperiodic groups, whose subgroups of infinite special rank are transitively normal |
| Publication Type | Journal Article |
| Year of Publication | 2020 |
| Authors | Kurdachenko, LA, Subbotin, IYa., Velychko, TV |
| Abbreviated Key Title | Dopov. Nac. akad. nauk Ukr. |
| DOI | 10.15407/dopovidi2020.02.003 |
| Issue | 2 |
| Section | Mathematics |
| Pagination | 3-6 |
| Date Published | 2/2020 |
| Language | English |
| Abstract | 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. |
| Keywords | finite special rank, locally nilpotent radical, locally nilpotent residual, periodic group, soluble group, transitively normal subgroups |
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