An inequality for complex linear groups of small degree
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- by Harvey I. Blau
- Proc. Amer. Math. Soc. 28 (1971), 405-408
- DOI: https://doi.org/10.1090/S0002-9939-1971-0274601-X
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Abstract:
Let $G$ be a finite complex irreducible linear group of degree less than $p-1$ for some fixed prime $p$, whose order is divisible by $p$ to the first power only, and which has no normal Sylow $p$-subgroup. An inequality of Brauer, which bounds $p$ by a function of the number of conjugate classes of $p$-elements, is improved.References
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Bibliographic Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 28 (1971), 405-408
- MSC: Primary 20.75
- DOI: https://doi.org/10.1090/S0002-9939-1971-0274601-X
- MathSciNet review: 0274601