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A note on groups with finite conjugacy classes of subnormal subgroups

In: Mathematica Slovaca, vol. 67, no. 2
Francesco De Giovanni - Federica Saccomanno
Detaily:
Rok, strany: 2017, 387 - 390
Kľúčové slová:
locally graded group, subnormal subgroup, conjugacy class
O článku:
A group $G$ is said to be a $V$-group if every subnormal subgroup of $G$ has only finitely many conjugates. It is proved here that if $G$ is a group admitting an ascending normal series whose factors have finite rank, and all proper subgroups of $G$ have the $V$-property, then $G$ itself is a $V$-group, provided that $G$ belongs to a suitable class of generalized soluble groups, containing in particular all locally (soluble-by-finite) groups. On the other hand, an example shows that there exist periodic metabelian minimal non-$V$ groups.
Ako citovať:
ISO 690:
De Giovanni, F., Saccomanno, F. 2017. A note on groups with finite conjugacy classes of subnormal subgroups. In Mathematica Slovaca, vol. 67, no.2, pp. 387-390. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0274

APA:
De Giovanni, F., Saccomanno, F. (2017). A note on groups with finite conjugacy classes of subnormal subgroups. Mathematica Slovaca, 67(2), 387-390. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0274
O vydaní:
Publikované: 25. 4. 2017