| Title | A generalization of the malnormal subgroups |
| Publication Type | Journal Article |
| Year of Publication | 2019 |
| Authors | Kurdachenko, LA, Semko, NN, Subbotin, IYa. |
| Abbreviated Key Title | Dopov. Nac. akad. nauk Ukr. |
| DOI | 10.15407/dopovidi2019.03.025 |
| Issue | 3 |
| Section | Mathematics |
| Pagination | 25-28 |
| Date Published | 03/2019 |
| Language | English |
| Abstract | A subgroup H of a group G is called malonormal in G, if H ∩ Hx = ‹1› for every element x ∈ NG(H). These subgroups are generalizations of malnormal subgroups. Every malnormal subgroup is malonormal, and every selfnormalizing malonormal subgroup is malnormal. Furthermore, every normal subgroup is malonormal. In this paper we obtain a description of finite and certain infinite groups, whose subgroups are malonormal. |
| Keywords | Frobenius group, generalized radical groups, locally graded groups, malnormal subgroups, malonormal subgroups |
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