By means of geometric techniques, concerning Seifert fibered homology spheres, we prove that the groups G(n,l), defined by a balanced presentation with n generators and relators, depending on a pair of integers which are odd and coprime, are pairwise non-isomorphic. Extensions of results obtained by A.Cavicchioli and by D.L.Johnson - R.M.Thomas are thus described.
The groups G(n,l) as fundamental groups of Seifert fibered homology spheres / Grasselli, Luigi. - STAMPA. - 1:(1995), pp. 244-248. (Intervento presentato al convegno Groups 1993 Galway/St Andrews tenutosi a University College - Galway nel 1993).
The groups G(n,l) as fundamental groups of Seifert fibered homology spheres
GRASSELLI, Luigi
1995
Abstract
By means of geometric techniques, concerning Seifert fibered homology spheres, we prove that the groups G(n,l), defined by a balanced presentation with n generators and relators, depending on a pair of integers which are odd and coprime, are pairwise non-isomorphic. Extensions of results obtained by A.Cavicchioli and by D.L.Johnson - R.M.Thomas are thus described.
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