A subgroup H of a group G is called commensurable with a normal subgroup (cn) if there is N C G such that |HN/(H ∩ N)| is finite. We characterize generalized radical groups G which have one of the following finiteness conditions: (A) the minimal condition on non-cn subgroups of G; (B) the non-cn subgroups of G fall into finitely many conjugacy classes; (C) the non-cn subgroups of G have finite rank

Groups with many subgroups which are commensurable with some normal subgroup / Dardano, U.; Rinauro, S.. - In: ADVANCES IN GROUP THEORY AND APPLICATIONS. - ISSN 2499-1287. - 7:(2019), pp. 3-13. [10.32037/agta-2019-002]

Groups with many subgroups which are commensurable with some normal subgroup

Dardano U.
;
2019

Abstract

A subgroup H of a group G is called commensurable with a normal subgroup (cn) if there is N C G such that |HN/(H ∩ N)| is finite. We characterize generalized radical groups G which have one of the following finiteness conditions: (A) the minimal condition on non-cn subgroups of G; (B) the non-cn subgroups of G fall into finitely many conjugacy classes; (C) the non-cn subgroups of G have finite rank
2019
Groups with many subgroups which are commensurable with some normal subgroup / Dardano, U.; Rinauro, S.. - In: ADVANCES IN GROUP THEORY AND APPLICATIONS. - ISSN 2499-1287. - 7:(2019), pp. 3-13. [10.32037/agta-2019-002]
File in questo prodotto:
File Dimensione Formato  
SU_RIVISTA_Dardano, Rinauro - Groups with many subgroups which are commensurable with some normal subgroup.pdf

accesso aperto

Tipologia: Documento in Post-print
Licenza: Dominio pubblico
Dimensione 270.06 kB
Formato Adobe PDF
270.06 kB Adobe PDF Visualizza/Apri

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/11588/772115
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 4
  • ???jsp.display-item.citation.isi??? 3
social impact