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
A note on torsion-free locally cyclic quasinormal subgroups / Cutolo, Giovanni; Leone, Antonella. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - 424:(2015), pp. 464-472. [10.1016/j.jalgebra.2014.09.023]
A note on torsion-free locally cyclic quasinormal subgroups
CUTOLO, GIOVANNI;LEONE, ANTONELLA
2015
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 kindFile in questo prodotto:
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