期刊论文

Xu, Bangteng

英文

Journal of Algebraic Combinatorics

0925-9899

2021

53

2

435-454

10.1007/s10801-020-01000-y

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).

本校为第一机构

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 $$p^3$$ . 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 necessary) conditions for these associati...