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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Under the degree of some finite linear groups. II
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by Harvey I. Blau PDF
Trans. Amer. Math. Soc. 203 (1975), 87-96 Request permission

Abstract:

Let $G$ be a finite group with a cyclic Sylow $p$-subgroup for some prime $p \geq 13$. Assume that $G$ is not of type ${L_2}(p)$, and that $G$ has a faithful indecomposable modular representation of degree $d \leq p$. Some known lower bounds for $d$ are improved, in case the center of the group is trivial, as a consequence of results on the degrees $\pmod p$ of irreducible Brauer characters in the principal $p$-block.
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 203 (1975), 87-96
  • MSC: Primary 20C20
  • DOI: https://doi.org/10.1090/S0002-9947-1975-0379651-9
  • MathSciNet review: 0379651