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arxiv: 1103.3171 · v1 · pith:J7SYR5CQnew · submitted 2011-03-16 · 🧮 math.RT · math.GR

Real characters in blocks

classification 🧮 math.RT math.GR
keywords realconjectureblocksdefecteatong-classesgroupgroups
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We consider real versions of Brauer's k(B) conjecture, Olsson's conjecture and Eaton's conjecture. We prove the real version of Eaton's conjecture for 2-blocks of groups with cyclic defect group and for the principal 2-blocks of groups with trivial real core. We also characterize G-classes, real and rational G-classes of the defect group of a block B.

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