关于p块中字符数的BRAUER猜想的约简定理

P. Gres
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摘要

证明了一些定理,将具有p元的p可解中心化器的有限群G的Brauer猜想的证明简化为一个合适的正定二次型的最小值的求值,其矩阵用结构比G更简单的群的p块的Cartan矩阵给出。
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REDUCTION THEOREMS FOR THE BRAUER CONJECTURE ON THE NUMBER OF CHARACTERS IN A p-BLOCK
Theorems are proved that reduce the proof of the Brauer conjecture for finite groups G with a p-soluble centralizer of a p-element to the evaluation of the minimum of a suitable positive definite quadratic form, whose matrix is given in terms of the Cartan matrix of a p-block of a group of simpler structure than G.
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