کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4585870 1334075 2012 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Character degree graphs with no complete vertices
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Character degree graphs with no complete vertices
چکیده انگلیسی

Let Γ be a graph in which each vertex is non-adjacent to another different one. We show that, if G is a finite solvable group with abelian Fitting subgroup and with character degree graph Γ(G)=Γ, then G is a direct product of subgroups having a disconnected character degree graph. In particular, Γ is a join of disconnected graphs. We deduce also that solvable groups with abelian Fitting subgroup have a character degree graph with diameter at most 2.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 353, Issue 1, 1 March 2012, Pages 22-30