تقرير
On central difference sets in Suzuki $p$-groups of type $A$
| العنوان: | On central difference sets in Suzuki $p$-groups of type $A$ |
|---|---|
| المؤلفون: | Di, Wendi, He, Zhiwen |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Combinatorics, 20C15, 20D15, 20E45, 05B10 |
| الوصف: | 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. Comment: 19 pages, 4 tables, 0 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2107.01332 |
| رقم الأكسشن: | edsarx.2107.01332 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |