In this work we prove that every closed, orientable 3-manifold $M^3$ which is a two-fold covering of $S^3$ branched over a link, has type six. This implies that $M^3$ is the quotient of the universal pseudocomplex K(4,6) by the action of a finite index subgroup of a fuchsian group with presentation S(4,6)= < a_1, a_2, a_3, a_4 / (a_1)^3 = (a_2)^3 = (a_3)^3 = (a_4)^3 = a_1 a_2 a_3 a_4 =1 >Moreover, the same result is proved to be true in case $M^3$ being an unbranched covering of a two-fold branched covering of $S^3$.

Two-fold branched coverings of S3 have type six / Casali, Maria Rita. - In: REVISTA MATEMÁTICA DE LA UNIVERSIDAD COMPLUTENSE DE MADRID. - ISSN 0214-3577. - STAMPA. - 5:(1992), pp. 235-254. [10.5209/rev_REMA.1992.v5.n2.17905]

Two-fold branched coverings of S3 have type six

CASALI, Maria Rita
1992-01-01

Abstract

In this work we prove that every closed, orientable 3-manifold $M^3$ which is a two-fold covering of $S^3$ branched over a link, has type six. This implies that $M^3$ is the quotient of the universal pseudocomplex K(4,6) by the action of a finite index subgroup of a fuchsian group with presentation S(4,6)= < a_1, a_2, a_3, a_4 / (a_1)^3 = (a_2)^3 = (a_3)^3 = (a_4)^3 = a_1 a_2 a_3 a_4 =1 >Moreover, the same result is proved to be true in case $M^3$ being an unbranched covering of a two-fold branched covering of $S^3$.
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Two-fold branched coverings of S3 have type six / Casali, Maria Rita. - In: REVISTA MATEMÁTICA DE LA UNIVERSIDAD COMPLUTENSE DE MADRID. - ISSN 0214-3577. - STAMPA. - 5:(1992), pp. 235-254. [10.5209/rev_REMA.1992.v5.n2.17905]
Casali, Maria Rita
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/450767
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