کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4584116 1630474 2015 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The character degree simplicial complex of a finite group
ترجمه فارسی عنوان
پیچیدگی ساده شخصیتی یک گروه محدود است
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

The character degree graph Γ(G)Γ(G) of a finite group G has long been studied as a means of understanding the structural properties of G  . For example, a result of Manz and Pálfy states that the character degree graph of a finite solvable group has at most two connected components. In this paper, we introduce the character degree simplicial complex G(G)G(G) of a finite group G  . We provide examples justifying the study of this simplicial complex as opposed to Γ(G)Γ(G), and prove an analogue of Manz's Theorem on the number of connected components that is dependent upon the dimension of G(G)G(G).

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 440, 15 October 2015, Pages 33–48
نویسندگان
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