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

Equivariant Alperin-Robinson's Conjecture reduces to almost-simple k*-groups