6533b872fe1ef96bd12d2c99

RESEARCH PRODUCT

Blocks with 𝑝-power character degrees

Gabriel NavarroGeoffrey R. RobinsonGeoffrey R. Robinson

subject

AlgebraPure mathematicsNilpotentFinite groupCharacter (mathematics)Applied MathematicsGeneral MathematicsNilpotent groupGroup theoryPower (physics)Mathematics

description

Let B B be a p p -block of a finite group G G . If χ ( 1 ) \chi (1) is a p p -power for all χ ∈ Irr ⁡ ( B ) \chi \in \operatorname {Irr}(B) , then B B is nilpotent.

https://doi.org/10.1090/s0002-9939-05-07915-3