6533b7d4fe1ef96bd126350a

RESEARCH PRODUCT

On the number of constituents of products of characters

Alexander MoretóMaria Loukaki

subject

Discrete mathematicsAlgebra and Number TheoryConjectureApplied MathematicsProduct (mathematics)FOS: MathematicsGroup Theory (math.GR)Mathematics::Representation TheoryMathematics - Group TheoryCounterexampleMathematics

description

It has been conjectured that if the number of distinct irreducible constituents of the product of two faithful irreducible characters of a finite p-group, for p ≥ 5, is bigger than (p + 1)/2, then it is at least p. We give a counterexample to this conjecture.

https://dx.doi.org/10.48550/arxiv.2201.08274