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Schurity of association schemes whose thin residues are elementary abelian p-groups of rank 2

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成果类型:
期刊论文
作者:
Chen, Gang;Xu, Bangteng*
通讯作者:
Xu, Bangteng
作者机构:
[Chen, Gang] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
[Xu, Bangteng] Eastern Kentucky Univ, Dept Math & Stat, Richmond, KY 40475 USA.
通讯机构:
[Xu, Bangteng] E
Eastern Kentucky Univ, Dept Math & Stat, Richmond, KY 40475 USA.
语种:
英文
关键词:
Association schemes;Thin residues;Automorphism groups;Schurian schemes;\(O^{\vartheta }\)(S)-feasible association schemes
期刊:
Journal of Algebraic Combinatorics
ISSN:
0925-9899
年:
2021
卷:
53
期:
2
页码:
435-454
基金类别:
The authors would like to thank the referee for useful comments, and thank Yanfen Chen and P. Costello for useful discussions. Part of this paper was done during the visit of the second author at Central China Normal University from May to June, 2019. He appreciates the hospitality of the first author and CCNU. The work of the first author is supported by National Science Foundation of China (No. 11571129 and No. 11971189). The authors would like to thank the referee for useful comments, and thank Yanfen Chen and P. Costello for useful discussions. Part of this paper was done during the visit of the second author at Central China Normal University from May to June, 2019. He appreciates the hospitality of the first author and CCNU. The work of the first author is supported by National Science Foundation of China (No. 11571129 and No. 11971189).
机构署名:
本校为第一机构
院系归属:
数学与统计学学院
摘要:
The schurity of association schemes has been studied in many papers. One of the major topics is to investigate the schurity of those association schemes whose thin residues are thin. A difficult case is that the thin residue is an elementary abelian p-group of rank 2. A class of these association schemes has played an important role in the study of p-schemes of order p3. In this paper, we study the automorphism groups and schurity problem of this class of association schemes. In particular, we will establish very simple sufficient (and necessar...

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