Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

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

 

 

Under the degree of some finite linear groups. II


Author: Harvey I. Blau
Journal: Trans. Amer. Math. Soc. 203 (1975), 87-96
MSC: Primary 20C20
MathSciNet review: 0379651
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 20C20

Retrieve articles in all journals with MSC: 20C20


Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1975-0379651-9
Keywords: Indecomposable modular representation, small degree, cyclic Sylow $ p$-subgroup, main value
Article copyright: © Copyright 1975 American Mathematical Society