论文标题
$ \ mathrm {gl}(m)$的Carmichael号码
Carmichael numbers for $\mathrm{GL}(m)$
论文作者
论文摘要
我们提出了Carmichael号码的概括,其中乘法组$ \ MATHBB G_ \ MATHRM {M} = \ MATHRM {GL}(1)$由$ \ Mathrm {gl}(m)$替换为$ M \ geq 2 $。我们证明了这些数字家族的基本特性,并举例说明了一些例子。
We propose a generalization of Carmichael numbers, where the multiplicative group $\mathbb G_\mathrm{m} = \mathrm{GL}(1)$ is replaced by $\mathrm{GL}(m)$ for $m\geq 2$. We prove basic properties of these families of numbers and give some examples.