论文标题
几何系列和有限置换组中的素数
Primes in geometric series and finite permutation groups
论文作者
论文摘要
由于有限简单组的分类，$ {\ rm lm l} _n（q）$的天然程度$（q^n-1）/（q-1）$何时何时$（q^n-1）/（q-1）$是PRIME的问题。我们提出了启发式论点和计算证据，以支持一个猜想，即对于每个主要$ n \ ge 3 $，即使限制了$ q $的主要值，也有无限的这种形式的数量。
As a consequence of the classification of finite simple groups, the classification of permutation groups of prime degree is complete, apart from the question of when the natural degree $(q^n-1)/(q-1)$ of ${\rm L}_n(q)$ is prime. We present heuristic arguments and computational evidence to support a conjecture that for each prime $n\ge 3$ there are infinitely many primes of this form, even if one restricts to prime values of $q$.
