On m-partite oriented semiregular representations of finite groups generated by two elements

被引：0
|
作者：
Du, Jia-Li [1 ,2 ]
Kwon, Young Soo [3 ]
Yin, Fu-Gang [4 ]
机构：
[1] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Peoples R China
[2] Nanjing Normal Univ, Key Lab NSLSCS, Minist Educ, Nanjing 210023, Peoples R China
[3] Yeungnam Univ, Math, Kyongsan 712749, South Korea
[4] Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
来源：
DISCRETE MATHEMATICS | 2024年 / 347卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Semiregular group; Regular representation; m-partite digraph; m-partite oriented semiregular; representation; GRAPHICAL REGULAR REPRESENTATIONS;
D O I：
10.1016/j.disc.2024.114043
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 oriented regular representations in the context of m -partite oriented digraphs with an integer m >= 2. A group G is said to admit an m-partite oriented semiregular representation ( m -POSR for short) if there exists an m -partite oriented digraph such that its automorphism group is isomorphic to G and acts semiregularly on vertices with every part of the digraph as an orbit. In this paper, we proved that G admits an m -POSR of valency two except for several cases when G is a finite group generated by at most two elements and m >= 2 is an integer. (c) 2024 Published by Elsevier B.V.
引用
收藏
页数：8
相关论文
共 50 条
12345