Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584761 | Journal of Algebra | 2014 | 10 Pages |
Abstract
Let Γ be a character degree graph with n vertices of some finite solvable group G. If Γ is regular, we prove that Γ is either complete or (n−2)(n−2)-regular. Moreover, if Γ is (n−2)(n−2)-regular and G has no normal non-abelian Sylow subgroups, we show that G is a direct product of groups having disconnected character degree graph.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Claudio Paolo Morresi Zuccari,