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Maximal subsets of pairwise non-commuting elements of p-groups of order less than p6 | ||
| International Journal of Group Theory | ||
| مقاله 6، دوره 3، شماره 1، خرداد 2014، صفحه 65-72 اصل مقاله (290.13 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/ijgt.2014.3511 | ||
| نویسنده | ||
| Reza Orfi | ||
| University of Arak | ||
| چکیده | ||
| Let $G$ be a non-abelian group of order $p^n$, where $n\leq 5$ in which $G$ is not extra special of order $p^5$. In this paper we determine the maximal size of subsets $X$ of $G$ with the property that $xy\neq yx$ for any $x,y$ in $X$ with $x\neq y$. | ||
| کلیدواژهها | ||
| p-group؛ AC-group؛ Pairwise non-commuting elements | ||
| مراجع | ||
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