一类大的散生群的传播的新的上界
New Upper Bounds on the Spreads of Some Large Sporadic Groups
摘要:
设G是一个群。我们说G已扩展r,如果对于任何不同元素的集合{x1,...,xr} \subset G存在元素y \in G,具有<xi,y>=G的性质,对于每个0<i<r+1。有限单群的展布的界是已知的。在本文中,我们提出了改进的上界传播的许多零星的单群,在某些情况下,提高了几个数量级的最知名的上界。
英文摘要:
Let G be a group. We say that G has spread r if for any set of distinct elements {x1,..., xr}\subset G there exists an element y\in G with the property that <xi, y>=G for every 0<i<r+1. Few bounds on the spread of finite simple groups are known. In this paper we present improved upper bounds for the spread of many of the sporadic simple groups, in some cases improving on the best known upper bound by several orders of magnitude.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。