Degree-one maps onto lens spaces

The paper deals with the question about the existence or non-existence of a degree-one map of a closed orientable 3-manifold M to some lens space. The answer to this question is determined by the cyclic decomposition of H-1(M), except when H1(M) contains an even number of direct factors isomorphic to Z(2)k. In this case one has to calculate the linking matrix of M to get the answer. For every n even, we give a Seifert manifold M(n) with H-1(M(n)) congruent to Z(n) + Z(n) that does not admit a degree-one map to L(n, m) for any m.MathematicsSCI(E)11ARTICLE119-3217