当前位置:
X-MOL 学术
›
Linear Multilinear Algebra
›
论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Automorphisms of linear functional graphs over vector spaces
Linear and Multilinear Algebra ( IF 1.1 ) Pub Date : 2021-05-06 , DOI: 10.1080/03081087.2021.1923630 Ali Majidinya 1
中文翻译:
向量空间上线性泛函图的自同构
更新日期:2021-05-06
Linear and Multilinear Algebra ( IF 1.1 ) Pub Date : 2021-05-06 , DOI: 10.1080/03081087.2021.1923630 Ali Majidinya 1
Affiliation
Let be a finite field with q elements, a positive integer, a n-dimensional vector space over and the set of all linear functionals from to . Let and . The linear functional graph of dented by , is an undirected bipartite graph, whose vertex set V is partitioned into two sets as and two vertices and are adjacent if and only if f sends v to the zero element of (i.e. ). In this paper, the structure of all automorphisms of this graph is characterized and formalized. Also the cardinal number of automorphisms group for this graph is determined.
中文翻译:
向量空间上线性泛函图的自同构
让是一个有q个元素的有限域,一个正整数,一个n维向量空间和来自的所有线性泛函的集合到. 让和. 的线性函数图被削弱, 是一个无向二分图,其顶点集V被划分为两个集合和两个顶点和相邻当且仅当f将v发送到的零元素(IE). 在本文中,对该图的所有自同构结构进行了表征和形式化。此图的自同构群的基数也已确定。