The groups whose cyclic subgroups are either ascendant or almost self-normalizing

Leonid A. Kurdachenko, Aleksandr A. Pypka, Nikolaj N. Semko

Abstract


The main result of this paper shows a description of locally finite groups, whose cyclic subgroups are either almost self-normalizing or ascendant. Also, we obtained some natural corollaries of the above situation.

Keywords


locally finite group; self-normalizing subgroup; ascendant subgroup; subnormal subgroup; Gruenberg radical; Baer radical

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References


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