@article {
author = {Rahimipour, Ali Raza and Farzaneh, Yousof},
title = {Upper bounds on the uniform spreads of the sporadic simple groups},
journal = {International Journal of Group Theory},
volume = {8},
number = {3},
pages = {15-31},
year = {2019},
publisher = {University of Isfahan},
issn = {2251-7650},
eissn = {2251-7669},
doi = {10.22108/ijgt.2018.111238.1478},
abstract = {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.},
keywords = {Exact uniform spread,Exact spread,Sporadic group},
url = {https://ijgt.ui.ac.ir/article_22875.html},
eprint = {https://ijgt.ui.ac.ir/article_22875_9684e20e927243d1b24dcf64296874e1.pdf}
}