论文标题
关于有限组和戒指的通勤概率
On commuting probabilities in finite groups and rings
论文作者
论文摘要
我们表明，有限环中所有通勤概率的集合是有限nilpotent $ \ le2 $的所有通勤概率集的子集。我们认为这两套是平等的。我们证明它们是相等的，当时仅限于具有奇数元素的组和戒指。
We show that the set of all commuting probabilities in finite rings is a subset of the set of all commuting probabilities in finite nilpotent groups of class $\le2$. We believe that these two sets are equal; we prove they are equal, when restricted to groups and rings with odd number of elements.
