Two remarks on the group algebra of a finite group
Abstract: If , m least, we find the smallest n such that appears in for some finite group G when m is either a prime power or not exactly divisible by a prime to the first power. We also show that every group of even order possesses a nontrivial real valued character of Schur index 1 over the rationals.
-  Richard Brauer, Representations of finite groups, Lectures on Modern Mathematics, Vol. I, Wiley, New York, 1963, pp. 133–175. MR 0178056
-  Richard Brauer, A note on theorems of Burnside and Blichfeldt, Proc. Amer. Math. Soc. 15 (1964), 31–34. MR 0158004, https://doi.org/10.1090/S0002-9939-1964-0158004-0
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Keywords: Theorem of Burnside and Blichfeldt, Brauer-Speiser Theorem
Article copyright: © Copyright 1971 American Mathematical Society