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Reduced designs constructed by Key-Moori Method $2$ and their connection with Method $3$ | ||
AUT Journal of Mathematics and Computing | ||
مقاله 4، دوره 4، شماره 1، 2023، صفحه 39-46 اصل مقاله (376.6 K) | ||
نوع مقاله: Original Article | ||
شناسه دیجیتال (DOI): 10.22060/ajmc.2022.21378.1092 | ||
نویسنده | ||
Amin Saeidi* | ||
School of Mathematical and Computer Sciences, University of Limpopo (Turfloop) Sovenga, South Africa | ||
چکیده | ||
For a 1-$(v,k,\lambda)$ design $\mathcal{D}$ containing a point $x$, we study the set $I_x$, the intersection of all blocks of $\mathcal{D}$ containing $x$. We use the set $I_x$ together with the Key-Moori Method 2 to construct reduced designs invariant under some families of finite simple groups. We also show that there is a connection between reduced designs constructed by Method 2 and the new Moori Method 3. | ||
کلیدواژهها | ||
Reduced design؛ Key-Moori Method 2؛ Method 3؛ Simple group | ||
مراجع | ||
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آمار تعداد مشاهده مقاله: 556 تعداد دریافت فایل اصل مقاله: 274 |