  A well-established result in condensed matter physics states that materials
crystallizing in symmetry groups containing glide reflection symmetries possess
nodal lines on the energy bands. These nodal lines are topologically protected
and appear on the fixed planes of the reflection in reciprocal space. In the
presence of inversion symmetry, the energy bands are degenerate and the nodal
lines on the fixed plane may hybridize or may cross. In the former case, the
crossing is avoided, thus producing lines on reciprocal space where the energy
gap is small, and in the latter, the nodal lines will endure, thus producing
Dirac or double nodal lines. In addition, if the material crystallizes in a
ferromagnetic phase where the glide reflection symmetry is broken, the nodal
lines hybridize, thus defining lines in reciprocal space where the energy gap
is small. In this work we concentrate our efforts on the study of nodal lines
that hybridize due to magnetization; we have coined the term of quasi-nodal
lines for those lines in reciprocal space where the energy gap is small (less
than what can be detected experimentally). We study magnetic trifluorides and
trioxides which crystallize in magnetic space groups 167.107 and 161.71 and we
show the existence of quasi-nodal lines on these materials. We furthermore show
that whenever the quasi-nodal lines are located around the Fermi level then
interesting charge and spin transport effects are induced and can be used to
detect experimentally these lines. Of particular interest are the half-metallic
ferromagnetic phases of PdF3 and LiCuF3 where the large signal of the anomalous
Hall conductance is due to the presence of the quasi-nodal lines on the Fermi
level.
