  We study theoretically the decay $\tau^- \to \nu_\tau P^- A$, with $P^-$ a
$\pi^-$ or $K^-$ and $A$ an axial-vector resonance $b_1(1235)$, $h_1(1170)$,
$h_1(1380)$, $a_1(1260)$, $f_1(1285)$ or any of the two poles of the
$K_1(1270)$. The process proceeds through a triangle mechanism where a vector
meson pair is first produced from the weak current and then one of the vectors
produces two pseudoscalars, one of which reinteracts with the other vector to
produce the axial resonance. For the initial weak hadronic production we use a
recent formalism to account for the hadronization after the initial
quark-antiquark pair produced from the weak current, which explicitly filters
G-parity states and obtain easy analytic formulas after working out the angular
momentum algebra. The model also takes advantage of the chiral unitary theories
to evaluate the vector-pseudoscalar amplitudes, where the axial-vector
resonances were obtained as dynamically generated from the VP interaction. We
make predictions for invariant mass distribution and branching ratios for the
channels considered.
