Giovanni Cutolo: papers

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31
G. Cutolo and A. Leone
A note on torsion-free locally cyclic quasinormal subgroups
J. Algebra, 424, (2015), pp. 464–472.
doi: 10.1016/j.jalgebra.2014.09.023
MathSciNet Zentralblatt Abstract Full Text

Abstract

We discuss properties of subgroups as in the title. Our main result is a theorem of Maier-Schmid type: all locally cyclic, core-free quasinormal subgroups of a group $G$ necessarily are contained in the hypercentre of $G$. This property was known to hold for periodic subgroups of this kind.

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