6533b82efe1ef96bd129452d

RESEARCH PRODUCT

Nilpotent and perfect groups with the same set of character degrees

Gabriel NavarroNoelia Rizo

subject

Set (abstract data type)Discrete mathematicsNilpotentPure mathematicsAlgebra and Number TheoryCharacter (mathematics)Applied MathematicsNilpotent groupUnipotentCentral seriesMathematics

description

We find a pair of finite groups, one nilpotent and the other perfect, with the same set of character degrees.

https://doi.org/10.1142/s0219498814500613