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On central difference sets in Suzuki $p$-groups of type $A$

Authors :
Di, Wendi
He, Zhiwen
Publication Year :
2021

Abstract

In this paper, when the order of $\theta$ is even, we prove that there exists no central difference sets in $A_2(m,\theta)$ and establish some non-existence results of central partial difference sets in $A_p(m,\theta)$ with $p>2$. When the order of $\theta$ is odd, we construct central difference sets in $A_2(m,\theta)$. Furthermore, we give some reduced linking systems of difference sets in $A_2(m,\theta)$ by using the difference sets we constructed. In the case $p>2$, we construct Latin square type central partial difference sets in $A_p(m,\theta)$ by a similar method.<br />Comment: 19 pages, 4 tables, 0 figures

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2107.01332
Document Type :
Working Paper