  Following the general strategy proposed by G.Rybnikov, we present a proof of
his well-known result, that is, the existence of two arrangements of lines
having the same combinatorial type, but non-isomorphic fundamental groups. To
do so, the Alexander Invariant and certain invariants of combinatorial line
arrangements are presented and developed for combinatorics with only double and
triple points. This is part of a more general project to better understand the
relationship between topology and combinatorics of line arrangements.
