Upper bounds on the uniform spreads of the sporadic simple groups
عنوان مقاله: Upper bounds on the uniform spreads of the sporadic simple groups
شناسه ملی مقاله: JR_THEGR-8-3_003
منتشر شده در در سال 1398
شناسه ملی مقاله: JR_THEGR-8-3_003
منتشر شده در در سال 1398
مشخصات نویسندگان مقاله:
Ali Raza Rahimipour - Mathematics, Faculty of Science, University of Qom. Qom, Iran
Yousof Farzaneh - Department of Mathematics, Faculty of Science, Iran University of Science & Technology, Tehran, Iran
خلاصه مقاله:
Ali Raza Rahimipour - Mathematics, Faculty of Science, University of Qom. Qom, Iran
Yousof Farzaneh - Department of Mathematics, Faculty of Science, Iran University of Science & Technology, Tehran, Iran
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 $s_۱, s_۲,\ldots,s_k$ in $G$ there exists $y\in C$ such that $G = \langle s_i,y\rangle$ for $i=۱, ۲,\ldots,k$. 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.
کلمات کلیدی: Exact uniform spread, Exact spread, Sporadic group
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1194949/