Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584855 | Journal of Algebra | 2014 | 13 Pages |
Abstract
Let G be a finite group and let p be an odd prime. Under certain conditions on the p-parts of the degrees of its irreducible p-Brauer characters, we prove the solvability of G. As a consequence, we answer a question proposed by B. Huppert in 1991: If G has exactly two distinct irreducible p-Brauer character degrees, then is G solvable? We also determine the structure of non-solvable groups with exactly two irreducible 2-Brauer character degrees.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Gabriel Navarro, Pham Huu Tiep, Hung P. Tong-Viet,