  In this paper we study some aspects of knots and links in lens spaces.
Namely, if we consider lens spaces as quotient of the unit ball $B^{3}$ with
suitable identification of boundary points, then we can project the links on
the equatorial disk of $B^{3}$, obtaining a regular diagram for them. In this
contest, we obtain a complete finite set of Reidemeister type moves
establishing equivalence, up to ambient isotopy, a Wirtinger type presentation
for the fundamental group of the complement of the link and a diagrammatic
method giving the first homology group. We also compute Alexander polynomial
and twisted Alexander polynomials of this class of links, showing their
correlation with Reidemeister torsion.
