Abnormal, Pronormal, Contranormal, and Carter Subgroups in Some Generalized Minimax Groups
Leonid Andreevich KURDACHENKO, J. Otal, I. Ya. Subbotin · Communications in Algebra · 2005
Some properties of abnormal and pronormal subgroups in generalized minimax groups are considered. For generalized minimax groups (not only periodic) whose locally nilpotent residual is nilpotent and satisfies Min-G the existence of Carter subgroups and their conjugations have been proven. Some generalizations of results of J. Rose on abnormal and contranormal subgroups have been also obtained.