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RESEARCH PRODUCT

Nondivisibility among character degrees II: Nonsolvable groups

Gunter MalleAlexander Moretó

subject

AlgebraSet (abstract data type)Pure mathematicsFinite groupCharacter (mathematics)General MathematicsDivisibility ruleGroup theoryMathematics

description

We say that a finite group G is an NDAD-group (no divisibility among degrees) if for any 1 < a < b in the set of degrees of the complex irreducible characters of G, a does not divide b. In this article, we determine the nonsolvable NDAD-groups. Together with the work of Lewis, Moreto and Wolf (J. Group Theory 8 (2005)), this settles a problem raised by Berkovich and Zhmud’, which asks for a classification of the NDAD-groups.

yearjournalcountryeditionlanguage
2007-11-14Journal of the London Mathematical Society
https://doi.org/10.1112/jlms/jdm082