  In a recent paper, Gabriel Navarro and Pham Huu Tiep show that the so-called
Alperin Weight Conjecture can be verified via the Classification of the Finite
Simple Groups, provided any simple group fulfills a very precise list of
conditions. Our purpose here is to show that the equivariant refinement of the
Alperin's Conjecture for blocks formulated by Geoffrey Robinson in the eighties
can be reduced to checking the same statement on any central k*-extension of
any finite almost-simple group, or of any finite simple group up to verifying
an "almost necessary" condition. In an Appendix we develop some old arguments
that we need in the proof.
