AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (241.3 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

A symplectic fission scheme for the association scheme of rectangular matrices and its automorphisms

Yang Zhang1, Shuxia Liu2, Liwei Zeng2( )
Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang, 050043, China
School of Mathematical Sciences, Hebei Normal University, Shijiazhuang 050024, China
Show Author Information

Abstract

In this paper, a symplectic fission scheme for the association scheme of m×n rectangular matrices over the finite field Fq, denoted by SMat(m×n,q), is constructed, where q is a power of a prime number. We discuss its association classes and inner automorphism group. In particular, we determine the intersection numbers and automorphism group of SMat(m×n,q) for m=1 and m=2.

Keywords

association schemefission schemeintersection numberautomorphism
CLC number: 05B25, 05C20, 05E30

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 9 Issue 11,
November 2024
Pages 32819-32830
DOI: 10.3934/math.20241570

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Zhang Y, Liu S, Zeng L. A symplectic fission scheme for the association scheme of rectangular matrices and its automorphisms. AIMS Mathematics, 2024, 9(11): 32819-32830. https://doi.org/10.3934/math.20241570

823

Views

85

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 28 September 2024
Revised: 08 November 2024
Accepted: 11 November 2024
Published: 20 November 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)