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Upper bounds on the uniform spreads of the sporadic simple groups | ||
| International Journal of Group Theory | ||
| مقاله 3، دوره 8، شماره 3، آذر 2019، صفحه 15-31 اصل مقاله (238.93 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/ijgt.2018.111238.1478 | ||
| نویسندگان | ||
| Ali Raza Rahimipour* 1؛ Yousof Farzaneh2 | ||
| 1Mathematics, Faculty of Science, University of Qom. Qom, Iran | ||
| 2Department of Mathematics, Faculty of Science, Iran University of Science & Technology, Tehran, Iran | ||
| چکیده | ||
| A finite group $G$ has uniform spread $k$ if there exists a fixed conjugacy class $C$ of elements in $G$ with the property that for any $k$ nontrivial elements $s_1, s_2,\ldots,s_k$ in $G$ there exists $y\in C$ such that $G = \langle s_i,y\rangle$ for $i=1, 2,\ldots,k$. Further, the exact uniform spread of $G$ is the largest $k$ such that $G$ has the uniform spread $k$. In this paper we give upper bounds on the exact uniform spreads of thirteen sporadic simple groups. | ||
| کلیدواژه‌ها | ||
| Exact uniform spread؛ Exact spread؛ Sporadic group | ||
| مراجع | ||
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