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math.GR2018
On p-parts of Brauer character degrees and p-regular conjugacy class sizes
Christine Bessenrodt, Yong Yang
Let be a finite group, a prime, and the set of irreducible -Brauer characters of . Let be the largest integer such that div…
math.GR2015
Huppert's Conjecture for Alternating groups
Christine Bessenrodt, Hung P. Tong-Viet, Jiping Zhang
We prove that the alternating groups of degree at least are uniquely determined up to an abelian direct factor by the degrees of their irreducible complex representations. This…
math.GR2008★ 6 cited
Cartan Invariants of Symmetric Groups and Iwahori-Hecke Algebras
Christine Bessenrodt, David Hill
Külshammer, Olsson and Robinson conjectured that a certain set of numbers determined the invariant factors of the -Cartan matrix for (equivalently, the invariant factor…