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In order to deal with a problem about the "Monster" simple group, Thompson developed a characterization of characters using Brauer's characterization. He did not publish this result, but versions were published by Fong [2], Smith [13], and Gluck [4] under names such as "Thompson's formulation of Brauer's Theorem". In this paper I shall show that Thompson's theorem is closely related to the analogue ... read moreof the theory of Brauer characters for sets π of primes, as presented in [8] (see also Olsson [7, §6], Robinson [10], Staszewski [14], and Slattery [12]), by deducing Thompson's theorem from results about that analogue.read less
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