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arXiv · 2503.23637

A Block-theoretic Proof of Burnside's Normal $p$-complement Theorem

Christopher Herbig
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Abstract

In [3, Theorem 6.7B], the authors use the Main Theorems of Brauer to give a proof of Burnside's Normal $p$-complement Theorem. Unfortunately, the proof contains an error. We take this opportunity to give a proof along similar lines, circumventing the error by means of a well-known result on traces of totally positive cyclotomic integers.

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Christopher Herbig. 2025-03-31. A Block-theoretic Proof of Burnside's Normal $p$-complement Theorem. https://arxiv.org/abs/2503.23637

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