## Under the degree of some finite linear groups

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- by Harvey I. Blau PDF
- Trans. Amer. Math. Soc.
**155**(1971), 95-113 Request permission

Erratum: Trans. Amer. Math. Soc.

**162**(1971), 475.

## Abstract:

Let $G$ be a finite group with a cyclic Sylow $p$-subgroup $P$ for some prime $p \geqq 13$. Assume that $G$ is not of type ${L_2}(p)$, and that $G$ has a faithful indecomposable modular representation of degree $d \leqq p$. This paper offers several improvements of the known bound $d \geqq (7p)/10 - 1/2$. In particular, $d \geqq 3(p - 1)/4$. Other bounds are given relative to the order of the center of $G$ and the index of the centralizer of $P$ in its normalizer.## References

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## Additional Information

- © Copyright 1971 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**155**(1971), 95-113 - MSC: Primary 20.80
- DOI: https://doi.org/10.1090/S0002-9947-1971-0274604-X
- MathSciNet review: 0274604