关于Γ_1-Non-Deranged置换群的生成和无向Cayley图

International Journal of Science for Global Sustainability Pub Date : 2023-07-31 DOI:10.57233/ijsgs.v9i2.466

K. O. Aremu, F. A. Issa, A. Muhammad, A.R. Tasiu, I.M. Muhammed

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摘要

群的cayley图，其中S是的生成器集合，是一个对的每个元素都有顶点，对和都有边的图。本文研究了由模p函数(和为素数)得到的-非无序置换群()的无向cayley图的结构性质，并证明了无向cayley图的生成不唯一，无向cayley图也不简单。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On Generators and Undirected Cayley graphs of Γ_1-Non-Deranged Permutation Groups

A cayley graph of a group , where S is the set of generators of is a graph that has a vertex for each element of and edge for and . In this work, we study the structural properties of undirected cayley graphs of the -non deranged permutation group ( ) obtained from a modulo p function (for and is prime), and established that the generators of are not unique and also the undirected cayley graphs is not simple.

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International Journal of Science for Global Sustainability

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