Two remarks on the group algebra of a finite group
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- by K. L. Fields
- Proc. Amer. Math. Soc. 30 (1971), 247-248
- DOI: https://doi.org/10.1090/S0002-9939-1971-0286901-8
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Abstract:
If $K \subseteq Q({\zeta _m})$, m least, we find the smallest n such that ${M_n}(K)$ appears in $QG$ 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.References
- 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 158004, DOI 10.1090/S0002-9939-1964-0158004-0
Bibliographic Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 30 (1971), 247-248
- MSC: Primary 20.80
- DOI: https://doi.org/10.1090/S0002-9939-1971-0286901-8
- MathSciNet review: 0286901