A generalization of the malnormal subgroups
DOI:
https://doi.org/10.15407/dopovidi2019.03.025Keywords:
Frobenius group, generalized radical groups, locally graded groups, malnormal subgroups, malonormal subgroupsAbstract
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.
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