  We consider two identical fermions interacting in the p-wave channel. Each
fermion also interacts with another particle in the vicinity of an s-wave
resonance. We find that in addition to the Kartavtsev-Malykh universal trimer
states resulting from the s-wave particle-fermion interaction, the
fermion-fermion p-wave interaction induces one or two shallow trimers in a
large domain of the control parameters, including a borromean regime where the
ground-state trimer exists in the absence of dimers at any mass ratio between
the fermions and the particle. A generic picture of the trimer spectrum emerges
from this work in terms of the low-energy parameters of the interactions.
