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. - 286:1(2005), pp. 41-56. [10.1016/j.jalgebra.2005.01.008]

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.
2005
286
1
41
56
Families of group presentations related to topology / Cavicchioli, Alberto; D., Repovs; Spaggiari, Fulvia. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - STAMPA. - 286:1(2005), pp. 41-56. [10.1016/j.jalgebra.2005.01.008]
Cavicchioli, Alberto; D., Repovs; Spaggiari, Fulvia
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/305894
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