Abstract
Let k be a knot in S3, ψ: π1(S3–k)→Zα1 * Zα2 an epimorphism sending a meridian to an element of length 2 and ω: Zα1 * Zα2→Sσ a transitive representation into a symmetric group. Information is given (in Theorem B##) on the homologies of the unbranched and branched covers associated to ωψ which generalizes a conjecture of Riley. When k is a torus knot these homologies are actually computed.
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