有限阿贝尔群上广义Cayley图的谱

IF 0.4 4区数学 Q4 MATHEMATICS

Algebra Colloquium Pub Date : 2022-03-20 DOI:10.1142/s1005386723000081

Xiaomin Zhu, Xu Yang, Jing Chen

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引用次数: 1

摘要

研究了有限阿贝尔群的广义Cayley图的谱。对于有限群的广义Cayley图[公式:见文]，[公式:见文]的正则双覆盖是直积[公式:见文]。利用积分Cayley图谱的刻划，对有限阿贝尔群上的积分广义Cayley图进行了刻划。作为应用，研究了[公式:见文]和[公式:见文]上的积分广义Cayley图，其中[公式:见文]和[公式:见文]为奇素数。

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Spectra of Generalized Cayley Graphs on Finite Abelian Groups

The spectra of generalized Cayley graphs of finite abelian groups are investigated in this paper. For a generalized Cayley graph [Formula: see text] of a finite group [Formula: see text], the canonical double covering of [Formula: see text] is the direct product [Formula: see text]. In this paper, integral generalized Cayley graphs on finite abelian groups are characterized, using the characterization of the spectra of integral Cayley graphs. As an application, the integral generalized Cayley graphs on [Formula: see text] and [Formula: see text] are investigated, where [Formula: see text] and [Formula: see text] are odd prime numbers.

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来源期刊

Algebra Colloquium 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

625

审稿时长

15.6 months

期刊介绍： Algebra Colloquium is an international mathematical journal founded at the beginning of 1994. It is edited by the Academy of Mathematics & Systems Science, Chinese Academy of Sciences, jointly with Suzhou University, and published quarterly in English in every March, June, September and December. Algebra Colloquium carries original research articles of high level in the field of pure and applied algebra. Papers from related areas which have applications to algebra are also considered for publication. This journal aims to reflect the latest developments in algebra and promote international academic exchanges.