We study some algebraic properties of a class of group presentations depending on a finite number of integer parameters. This class contains many well-known groups which are interesting from a topological point of view. We find arithmetic conditions on the parameters under which the considered groups cannot be fundamental groups of hyperbolic 3-manifolds of finite volume. Then we investigate the asphericity for many presentations contained in our family.

Families of group presentations related to topology / Cavicchioli, Alberto; D., Repovs; Spaggiari, Fulvia. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - STAMPA. - 286:(2005), pp. 41-56.

Families of group presentations related to topology

CAVICCHIOLI, Alberto;SPAGGIARI, Fulvia
2005

Abstract

We study some algebraic properties of a class of group presentations depending on a finite number of integer parameters. This class contains many well-known groups which are interesting from a topological point of view. We find arithmetic conditions on the parameters under which the considered groups cannot be fundamental groups of hyperbolic 3-manifolds of finite volume. Then we investigate the asphericity for many presentations contained in our family.
286
41
56
Families of group presentations related to topology / Cavicchioli, Alberto; D., Repovs; Spaggiari, Fulvia. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - STAMPA. - 286:(2005), pp. 41-56.
Cavicchioli, Alberto; D., Repovs; Spaggiari, Fulvia
File in questo prodotto:
File Dimensione Formato  
CaReSpJA05.pdf

non disponibili

Tipologia: Post-print dell'autore (bozza post referaggio)
Dimensione 165.44 kB
Formato Adobe PDF
165.44 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
Pubblicazioni consigliate

Caricamento pubblicazioni consigliate

Licenza Creative Commons
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/305894
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 15
  • ???jsp.display-item.citation.isi??? 15
social impact