Pro-p link groups and p-homology groups

Hillman, Jonathan; Matei, Daniel; Morishita, Masanori

Pro-p link groups and p-homology groups

Authors

Hillman, Jonathan

Matei, Daniel

Morishita, Masanori

Description

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 $L$.
20 pages