We study groups in which each subnormal subgroup is commensurable with a normal subgroup. Recall that two subgroups and are termed commensurable if H-KHcap K has finite index in both and . Among other results, we show that if a (sub)soluble group has the above property, then is finite-by-metabelian, i.e., GG{} is finite.

Groups in which each subnormal subgroup is commensurable with some normal subgroup / Dardano, U.; De Mari, F.. - In: JOURNAL OF GROUP THEORY. - ISSN 1433-5883. - 24:4(2021), pp. 819-834. [10.1515/jgth-2020-0076]

Groups in which each subnormal subgroup is commensurable with some normal subgroup

Dardano U.
;
De Mari F.
2021

Abstract

We study groups in which each subnormal subgroup is commensurable with a normal subgroup. Recall that two subgroups and are termed commensurable if H-KHcap K has finite index in both and . Among other results, we show that if a (sub)soluble group has the above property, then is finite-by-metabelian, i.e., GG{} is finite.
2021
Groups in which each subnormal subgroup is commensurable with some normal subgroup / Dardano, U.; De Mari, F.. - In: JOURNAL OF GROUP THEORY. - ISSN 1433-5883. - 24:4(2021), pp. 819-834. [10.1515/jgth-2020-0076]
File in questo prodotto:
File Dimensione Formato  
T[*]_PREPRINT_SULLA_RIVISTA.pdf

solo utenti autorizzati

Licenza: Non specificato
Dimensione 283.43 kB
Formato Adobe PDF
283.43 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/906405
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 1
social impact