We prove that every core-free permutable subgroup of a nilpotent-by-finite group G is contained in the hypercentre of G. We also discuss some properties of permutable subgroups of arbitrary groups with respect to commutators and to the upper central series.
Permutable subgroups and the Maier-Schmid theorem for nilpotent-by-finite groups / Cutolo, Giovanni; Leone, Antonella. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - 546:(2020), pp. 723-733. [10.1016/j.jalgebra.2019.11.008]
Permutable subgroups and the Maier-Schmid theorem for nilpotent-by-finite groups
Giovanni Cutolo
;Antonella Leone
2020
Abstract
We prove that every core-free permutable subgroup of a nilpotent-by-finite group G is contained in the hypercentre of G. We also discuss some properties of permutable subgroups of arbitrary groups with respect to commutators and to the upper central series.File in questo prodotto:
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