Under the degree of some finite linear groups

Author:
Harvey I. Blau

Journal:
Trans. Amer. Math. Soc. **155** (1971), 95-113

MSC:
Primary 20.80

DOI:
https://doi.org/10.1090/S0002-9947-1971-0274604-X

Erratum:
Trans. Amer. Math. Soc. **162** (1971), 475.

MathSciNet review:
0274604

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be a finite group with a cyclic Sylow -subgroup for some prime . Assume that is not of type , and that has a faithful indecomposable modular representation of degree . This paper offers several improvements of the known bound . In particular, . Other bounds are given relative to the order of the center of and the index of the centralizer of in its normalizer.

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DOI:
https://doi.org/10.1090/S0002-9947-1971-0274604-X

Keywords:
Indecomposable modular representation,
small degree,
cyclic Sylow -subgroup,
symmetric decomposition,
skew decomposition,
irreducible complex representation

Article copyright:
© Copyright 1971
American Mathematical Society