Title of article :
On some generalization of the malnormal subgroups
Author/Authors :
Kurdachenko, Leonid A National University of Dnipro , Semko, Nikolai University of State Fiscal Service of Ukraine , Subbotin, Igor Department of Mathematics and Natural Sciences - College of Letters and Sciences - National University - USA
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 :
Malnormal Subgroups , Malonormal Subgroups , Frobenius Group , Locally Graded groups , Generalized Radical Groups
Journal title :
International Journal of Group Theory
