We study the notion of wgsc inverse-representation of finitely presented groups and use the “$(\Phi, \Psi)$-technique” of Poénaru, in order to prove that the universal cover of a closed 3-manifold admitting a wgsc inverse-representation with an extra finiteness condition is simply connected at infinity. Furthermore, we investigate some new relations between wgsc inverse-representations and the qsf property for groups.
On 3-dimensional wgsc inverse-representations of groups
Russo F;
2017-01-01
Abstract
We study the notion of wgsc inverse-representation of finitely presented groups and use the “$(\Phi, \Psi)$-technique” of Poénaru, in order to prove that the universal cover of a closed 3-manifold admitting a wgsc inverse-representation with an extra finiteness condition is simply connected at infinity. Furthermore, we investigate some new relations between wgsc inverse-representations and the qsf property for groups.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
