  We define group-twisted Alexander-Whitney and Eilenberg-Zilber maps for
converting between bimodule resolutions of skew group algebras. These algebras
are the natural semidirect products recording actions of finite groups by
automorphisms. The group-twisted chain maps allow us to transfer information
between resolutions for use in homology theories, for example, in those
governing deformation theory. We show how to translate in particular from the
default (but often cumbersome) reduced bar resolution to a more convenient
twisted product resolution. This provides a more universal approach to some
known results classifying PBW deformations.
