Open normal subgroups in normally constrained pro-$p$ groups

Gavioli, Norberto; Legarreta, Leire; Ruscitti, Marco; Scoppola, Carlo Maria

doi:10.22108/ijgt.2019.115382.1532

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	Open normal subgroups in normally constrained pro-$p$ groups
International Journal of Group Theory
مقاله 6، دوره 9، شماره 2، شهریور 2020، صفحه 125-132 اصل مقاله (200.25 K)
نوع مقاله: Ischia Group Theory 2018
شناسه دیجیتال (DOI): 10.22108/ijgt.2019.115382.1532
نویسندگان
Norberto Gavioli¹؛ Leire Legarreta^* ²؛ Marco Ruscitti¹؛ Carlo Maria Scoppola¹
¹Dipartimento di Ingegneria e Scienze dell'Informazione e Matematica, Università degli studi dell'Aquila
²Spanish
چکیده
In this paper we analyse properties satisfied by certain open normal subgroups in normally constrained pro-‎$‎p‎$ groups and in a spread version of normally constrained pro-‎$‎p‎$‎ groups‎. ‎In the case of powerful normally constrained pro-‎$‎p‎$ groups‎, ‎we exhibit some kind of inheritance properties in certain open normal subgroups‎.
کلیدواژه‌ها
‎pro-‎$‎p‎$ groups‎؛ ‎open (closed) normal subgroups‎؛ ‎waist‎؛ ‎width‎؛ ‎powerful

مراجع
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Open normal subgroups in normally constrained pro-$p$ groups