6533b860fe1ef96bd12c382c

RESEARCH PRODUCT

BOUNDING THE NUMBER OF IRREDUCIBLE CHARACTER DEGREES OF A FINITE GROUP IN TERMS OF THE LARGEST DEGREE

Alexander MoretóMark L. Lewis

subject

CombinatoricsDiscrete mathematicsFinite groupOrientation characterAlgebra and Number TheoryCharacter (mathematics)Degree (graph theory)Character tableApplied MathematicsPrime factorCharacter groupPrime (order theory)Mathematics

description

We conjecture that the number of irreducible character degrees of a finite group is bounded in terms of the number of prime factors (counting multiplicities) of the largest character degree. We prove that this conjecture holds when the largest character degree is prime and when the character degree graph is disconnected.

yearjournalcountryeditionlanguage
2013-10-10Journal of Algebra and Its Applications
https://doi.org/10.1142/s0219498813500965