کد مقاله کد نشریه سال انتشار مقاله انگلیسی ترجمه فارسی نسخه تمام متن
4653183 1343070 2017 7 صفحه PDF سفارش دهید دانلود کنید
عنوان انگلیسی مقاله
Automorphism groups of supergraphs of the power graph of a finite group
ترجمه فارسی عنوان
گروه های اتومورفیسم ابرگراف نمودار قدرت یک گروه محدود
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
چکیده انگلیسی

For a finite group GG, the power graphP(G)P(G) is a graph with the vertex set GG, in which two distinct elements are adjacent if one is a power of the other. Feng, Ma and Wang (Feng et al., 2016) described the full automorphism group of P(G)P(G). In this paper, we study automorphism groups of the main supergraphs and cyclic graphs, which are supergraphs of P(G)P(G). It is proved that the automorphism group of these graphs can be written as a combination of Cartesian and wreath products of some symmetric groups. The full automorphism groups of these graphs of certain finite groups are also calculated.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: European Journal of Combinatorics - Volume 60, February 2017, Pages 82–88
نویسندگان
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