Pro-p link groups and p-homology groups

Mathematics – Geometric Topology

Scientific paper

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20 pages

Scientific paper

For a link $L$ in the 3-sphere and for a prime $p$, we express the
$p$-primary information on the first homology group of $p^{m}$-fold branched
covers of $L$ in terms of its $p$-adic Milnor higher linking invariants, using
the completed Alexander module of the pro-$p$ completion of the link group of
$L$.

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