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RESEARCH PRODUCT
A Dual Version of Huppert's - Conjecture
Alexander MoretóGunter Mallesubject
CombinatoricsFinite groupConjectureCharacter (mathematics)Mathematics::Number TheoryGeneral MathematicsMathematics::Metric GeometryDegree (angle)Prime (order theory)Dual (category theory)Mathematicsdescription
Huppert’s ρ-σ conjecture asserts that any finite group has some character degree that is divisible by “many” primes. In this note, we consider a dual version of this problem, and we prove that for any finite group there is some prime that divides “many” character degrees.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-07-08 | International Mathematics Research Notices |