Open normal subgroups in normally constrained pro-$p$ groups
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 propert...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Isfahan
2020-06-01
|
| Series: | International Journal of Group Theory |
| Subjects: | |
| Online Access: | https://ijgt.ui.ac.ir/article_23588_b6a90fc98eb0f50b87dc9c8f3918a26d.pdf |
| _version_ | 1818487588740136960 |
|---|---|
| author | Norberto Gavioli Leire Legarreta Marco Ruscitti Carlo Maria Scoppola |
| author_facet | Norberto Gavioli Leire Legarreta Marco Ruscitti Carlo Maria Scoppola |
| author_sort | Norberto Gavioli |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-10T16:40:02Z |
| format | Article |
| id | doaj.art-13e1f22648804d61bee68bbea0655e57 |
| institution | Directory Open Access Journal |
| issn | 2251-7650 2251-7669 |
| language | English |
| last_indexed | 2024-12-10T16:40:02Z |
| publishDate | 2020-06-01 |
| publisher | University of Isfahan |
| record_format | Article |
| series | International Journal of Group Theory |
| spelling | doaj.art-13e1f22648804d61bee68bbea0655e572022-12-22T01:41:16ZengUniversity of IsfahanInternational Journal of Group Theory2251-76502251-76692020-06-019212513210.22108/ijgt.2019.115382.153223588Open normal subgroups in normally constrained pro-$p$ groupsNorberto Gavioli0Leire Legarreta1Marco Ruscitti2Carlo Maria Scoppola3Dipartimento di Ingegneria e Scienze dell'Informazione e Matematica, Università degli studi dell'AquilaSpanishDipartimento di Ingegneria e Scienze dell'Informazione e Matematica, Università degli studi dell'AquilaDipartimento di Ingegneria e Scienze dell'Informazione e Matematica, Università degli studi dell'AquilaIn 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.https://ijgt.ui.ac.ir/article_23588_b6a90fc98eb0f50b87dc9c8f3918a26d.pdfpro-$p$ groupsopen (closed) normal subgroupswaistwidthpowerful |
| spellingShingle | Norberto Gavioli Leire Legarreta Marco Ruscitti Carlo Maria Scoppola Open normal subgroups in normally constrained pro-$p$ groups International Journal of Group Theory pro-$p$ groups open (closed) normal subgroups waist width powerful |
| title | Open normal subgroups in normally constrained pro-$p$ groups |
| title_full | Open normal subgroups in normally constrained pro-$p$ groups |
| title_fullStr | Open normal subgroups in normally constrained pro-$p$ groups |
| title_full_unstemmed | Open normal subgroups in normally constrained pro-$p$ groups |
| title_short | Open normal subgroups in normally constrained pro-$p$ groups |
| title_sort | open normal subgroups in normally constrained pro p groups |
| topic | pro-$p$ groups open (closed) normal subgroups waist width powerful |
| url | https://ijgt.ui.ac.ir/article_23588_b6a90fc98eb0f50b87dc9c8f3918a26d.pdf |
| work_keys_str_mv | AT norbertogavioli opennormalsubgroupsinnormallyconstrainedpropgroups AT leirelegarreta opennormalsubgroupsinnormallyconstrainedpropgroups AT marcoruscitti opennormalsubgroupsinnormallyconstrainedpropgroups AT carlomariascoppola opennormalsubgroupsinnormallyconstrainedpropgroups |