Finite p-groups with some isolated subgroups

We say that a subgroup H is isolated in a group G if for each x∈G we have either x∈H or 〈x〉∩H={1}. Here we shall determine certain classes of finite nonabelian p-groups which possess some isolated subgroups (Theorems 1, 2, 4, 6 and 8 to 16).

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Bibliographische Detailangaben
1. Verfasser: Janko, Zvonimir (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 22 July 2016
In: Journal of algebra
Year: 2016, Jahrgang: 465, Pages: 41-61
ISSN:1090-266X
DOI:10.1016/j.jalgebra.2016.06.032
Online-Zugang:Verlag, Volltext: http://dx.doi.org/10.1016/j.jalgebra.2016.06.032
Verlag, Volltext: http://www.sciencedirect.com/science/article/pii/S0021869316302009
Volltext
Verfasserangaben:Zvonimir Janko
Beschreibung
Zusammenfassung:We say that a subgroup H is isolated in a group G if for each x∈G we have either x∈H or 〈x〉∩H={1}. Here we shall determine certain classes of finite nonabelian p-groups which possess some isolated subgroups (Theorems 1, 2, 4, 6 and 8 to 16).
Beschreibung:Gesehen am 23.02.2018
Beschreibung:Online Resource
ISSN:1090-266X
DOI:10.1016/j.jalgebra.2016.06.032