Keywords. 3-manifold, fundamental group, corank, Alexander module, virtual betti number, free group
AMS subject classification. Primary: 57M27, 57N10. Secondary: 57M05, 57M50, 20F34, 20F67.
Submitted to GT on 27 February 2002. Paper accepted 22 August 2002. Paper published 15 September 2002.
Shelly L Harvey
Department of Mathematics
University of California at San Diego
La Jolla, CA 92093-0112, USA
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