On Haar digraphical representations of groups

被引：2

作者：

Du, Jia-Li ^{[1
]}

Feng, Yan-Quan ^{[2
]}

Spiga, Pablo ^{[3
]}

机构：

[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China

[2] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China

[3] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, Via Cozzi 55, I-20125 Milan, Italy

来源：

DISCRETE MATHEMATICS | 2020年 / 343卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Semiregular group; Regular representation; DRR; GRR; Haar digraph; GRAPHICAL REGULAR REPRESENTATIONS; CAYLEY-GRAPHS; NORMALITY;

D O I：

10.1016/j.disc.2020.112032

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we extend the notion of digraphical regular representations in the context of Haar digraphs. Given a group G, a Haar digraph Gamma over G is a bipartite digraph having a bipartition {X, Y} such that G is a group of automorphisms of Gamma acting regularly on X and on Y. We say that G admits a Haar digraphical representation (HDR for short), if there exists a Haar digraph over G such that its automorphism group is isomorphic to G. In this paper, we classify finite groups admitting an HDR. (C) 2020 Elsevier B.V. All rights reserved.

引用

页数：6

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