On the reduction of Alperin's Conjecture to the quasi-simple groups - Mathematics > Group TheoryReport as inadecuate




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Abstract: We show that the refinement of Alperin-s Conjecture proposed in -FrobeniusCategories versus Brauer Blocks-, Progress in Math. 274, can be proved bychecking that this refinement holds on any central k*-extension of a finitegroup H containing a normal simple group S with trivial centralizer in H andp-cyclic quotient H-S. This paper improves our result in ibidem, Theorem16.45 and repairs some bad arguments there.



Author: Lluis Puig

Source: https://arxiv.org/



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