A Bijection for the Alperin Weight Conjecture in S n
نویسندگان
چکیده
منابع مشابه
On the Inductive Alperin–mckay and Alperin Weight Conjecture for Groups with Abelian Sylow Subgroups
We study the inductive Alperin–McKay conjecture, the inductive Isaacs– Navarro refinement and the inductive blockwise Alperin weight conjecture for groups of Lie type in the generic case of abelian Sylow `-subgroups. We also show that the alternating groups, the Suzuki groups and the Ree groups satisfy the inductive condition necessary for Späth’s reduction of the blockwise Alperin weight conje...
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Let G be a finite group, p be a prime, k be an algebraically closed field of characteristic p. J. L. Alperin has conjectured that for any finite group G, # (isomorphism types of simple fcG-modules) = £ # (isomorphism types of projective simple A: (C) where the sum is taken over a set of representatives of the conjugacy classes of /7-subgroups of G. There is also a ' blockwise' version of this c...
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The notation np(G) differs from what appears in print elsewhere. In the notation of [5] and [10] one has np(G) = `(G)−f0(G) where `(G) is the number of simple kG-modules and f0(G) is the number of blocks of defect zero. In comparing different printed versions it may help to notice that for the stabilizer groups Gσ we have np(Gσ) = `(Gσ) because the Gσ always have a non-trivial normal p-subgroup...
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ژورنال
عنوان ژورنال: Algebras and Representation Theory
سال: 2009
ISSN: 1386-923X,1572-9079
DOI: 10.1007/s10468-009-9194-x